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Finding the Fourth Proportional to 545.06, 817.62 and 220.42

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Solution

The fourth proportional to 545.06, 817.62 and 220.42 is: 330.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.06 : 817.62 = 220.42 : x
  2. Step 2: Convert to fraction form
    545.06/817.62 = 220.42/x
  3. Step 3: Cross multiply
    545.06x = 817.62 × 220.42
  4. Step 4: Simplify right side
    545.06x = 180,217.76
  5. Step 5: Solve for x
    x = 180,217.76/545.06
  6. Step 6: Final answer
    x = 330.64

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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.