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Finding the Fourth Proportional to 354.29, 531.29 and 123.14

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Solution

The fourth proportional to 354.29, 531.29 and 123.14 is: 184.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.29 : 531.29 = 123.14 : x
  2. Step 2: Convert to fraction form
    354.29/531.29 = 123.14/x
  3. Step 3: Cross multiply
    354.29x = 531.29 × 123.14
  4. Step 4: Simplify right side
    354.29x = 65,423.05
  5. Step 5: Solve for x
    x = 65,423.05/354.29
  6. Step 6: Final answer
    x = 184.66

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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.