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Finding the Fourth Proportional to 285.52, 428.31 and 102.93

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Solution

The fourth proportional to 285.52, 428.31 and 102.93 is: 154.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.52 : 428.31 = 102.93 : x
  2. Step 2: Convert to fraction form
    285.52/428.31 = 102.93/x
  3. Step 3: Cross multiply
    285.52x = 428.31 × 102.93
  4. Step 4: Simplify right side
    285.52x = 44,085.95
  5. Step 5: Solve for x
    x = 44,085.95/285.52
  6. Step 6: Final answer
    x = 154.41

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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.