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Finding the Fourth Proportional to 285.08, 429.14 and 220.43

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Solution

The fourth proportional to 285.08, 429.14 and 220.43 is: 331.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.08 : 429.14 = 220.43 : x
  2. Step 2: Convert to fraction form
    285.08/429.14 = 220.43/x
  3. Step 3: Cross multiply
    285.08x = 429.14 × 220.43
  4. Step 4: Simplify right side
    285.08x = 94,593.18
  5. Step 5: Solve for x
    x = 94,593.18/285.08
  6. Step 6: Final answer
    x = 331.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.