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Finding the Fourth Proportional to 354.02, 531.14 and 159.15

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Solution

The fourth proportional to 354.02, 531.14 and 159.15 is: 238.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.02 : 531.14 = 159.15 : x
  2. Step 2: Convert to fraction form
    354.02/531.14 = 159.15/x
  3. Step 3: Cross multiply
    354.02x = 531.14 × 159.15
  4. Step 4: Simplify right side
    354.02x = 84,530.14
  5. Step 5: Solve for x
    x = 84,530.14/354.02
  6. Step 6: Final answer
    x = 238.78

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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.