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Finding the Fourth Proportional to 353.14, 530.01 and 136.87

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Solution

The fourth proportional to 353.14, 530.01 and 136.87 is: 205.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.14 : 530.01 = 136.87 : x
  2. Step 2: Convert to fraction form
    353.14/530.01 = 136.87/x
  3. Step 3: Cross multiply
    353.14x = 530.01 × 136.87
  4. Step 4: Simplify right side
    353.14x = 72,542.47
  5. Step 5: Solve for x
    x = 72,542.47/353.14
  6. Step 6: Final answer
    x = 205.42

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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.