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Finding the Fourth Proportional to 285.28, 428.03 and 92.91

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Solution

The fourth proportional to 285.28, 428.03 and 92.91 is: 139.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.28 : 428.03 = 92.91 : x
  2. Step 2: Convert to fraction form
    285.28/428.03 = 92.91/x
  3. Step 3: Cross multiply
    285.28x = 428.03 × 92.91
  4. Step 4: Simplify right side
    285.28x = 39,768.27
  5. Step 5: Solve for x
    x = 39,768.27/285.28
  6. Step 6: Final answer
    x = 139.40

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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.