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Finding the Fourth Proportional to 356.62, 534.96 and 100.12

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Solution

The fourth proportional to 356.62, 534.96 and 100.12 is: 150.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.62 : 534.96 = 100.12 : x
  2. Step 2: Convert to fraction form
    356.62/534.96 = 100.12/x
  3. Step 3: Cross multiply
    356.62x = 534.96 × 100.12
  4. Step 4: Simplify right side
    356.62x = 53,560.20
  5. Step 5: Solve for x
    x = 53,560.20/356.62
  6. Step 6: Final answer
    x = 150.19

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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.