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Finding the Fourth Proportional to 545.96, 818.99 and 180.75

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Solution

The fourth proportional to 545.96, 818.99 and 180.75 is: 271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.96 : 818.99 = 180.75 : x
  2. Step 2: Convert to fraction form
    545.96/818.99 = 180.75/x
  3. Step 3: Cross multiply
    545.96x = 818.99 × 180.75
  4. Step 4: Simplify right side
    545.96x = 148,031.54
  5. Step 5: Solve for x
    x = 148,031.54/545.96
  6. Step 6: Final answer
    x = 271.14

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Half scale
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Double scale
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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.