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Finding the Fourth Proportional to 354.61, 531.98 and 123.49

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Solution

The fourth proportional to 354.61, 531.98 and 123.49 is: 185.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.61 : 531.98 = 123.49 : x
  2. Step 2: Convert to fraction form
    354.61/531.98 = 123.49/x
  3. Step 3: Cross multiply
    354.61x = 531.98 × 123.49
  4. Step 4: Simplify right side
    354.61x = 65,690.93
  5. Step 5: Solve for x
    x = 65,690.93/354.61
  6. Step 6: Final answer
    x = 185.25

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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.