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Finding the Fourth Proportional to 355.45, 532.82 and 124.16

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Solution

The fourth proportional to 355.45, 532.82 and 124.16 is: 186.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.45 : 532.82 = 124.16 : x
  2. Step 2: Convert to fraction form
    355.45/532.82 = 124.16/x
  3. Step 3: Cross multiply
    355.45x = 532.82 × 124.16
  4. Step 4: Simplify right side
    355.45x = 66,154.93
  5. Step 5: Solve for x
    x = 66,154.93/355.45
  6. Step 6: Final answer
    x = 186.12

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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.