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Finding the Fourth Proportional to 545.49, 817.89 and 180.18

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Solution

The fourth proportional to 545.49, 817.89 and 180.18 is: 270.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.49 : 817.89 = 180.18 : x
  2. Step 2: Convert to fraction form
    545.49/817.89 = 180.18/x
  3. Step 3: Cross multiply
    545.49x = 817.89 × 180.18
  4. Step 4: Simplify right side
    545.49x = 147,367.42
  5. Step 5: Solve for x
    x = 147,367.42/545.49
  6. Step 6: Final answer
    x = 270.16

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Half scale
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Double scale
Find fourth proportional to 546.49, 819.39 and 181.18
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.