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Finding the Fourth Proportional to 354.17, 530.85 and 159.13

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Solution

The fourth proportional to 354.17, 530.85 and 159.13 is: 238.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.17 : 530.85 = 159.13 : x
  2. Step 2: Convert to fraction form
    354.17/530.85 = 159.13/x
  3. Step 3: Cross multiply
    354.17x = 530.85 × 159.13
  4. Step 4: Simplify right side
    354.17x = 84,474.16
  5. Step 5: Solve for x
    x = 84,474.16/354.17
  6. Step 6: Final answer
    x = 238.51

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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.