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Finding the Fourth Proportional to 354.83, 532.27 and 123.78

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Solution

The fourth proportional to 354.83, 532.27 and 123.78 is: 185.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.83 : 532.27 = 123.78 : x
  2. Step 2: Convert to fraction form
    354.83/532.27 = 123.78/x
  3. Step 3: Cross multiply
    354.83x = 532.27 × 123.78
  4. Step 4: Simplify right side
    354.83x = 65,883.54
  5. Step 5: Solve for x
    x = 65,883.54/354.83
  6. Step 6: Final answer
    x = 185.68

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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.