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Finding the Fourth Proportional to 285.69, 428.29 and 177.24

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Solution

The fourth proportional to 285.69, 428.29 and 177.24 is: 265.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.69 : 428.29 = 177.24 : x
  2. Step 2: Convert to fraction form
    285.69/428.29 = 177.24/x
  3. Step 3: Cross multiply
    285.69x = 428.29 × 177.24
  4. Step 4: Simplify right side
    285.69x = 75,909.23
  5. Step 5: Solve for x
    x = 75,909.23/285.69
  6. Step 6: Final answer
    x = 265.70

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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.