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Finding the Fourth Proportional to 355.07, 532.61 and 138.66

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Solution

The fourth proportional to 355.07, 532.61 and 138.66 is: 207.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.07 : 532.61 = 138.66 : x
  2. Step 2: Convert to fraction form
    355.07/532.61 = 138.66/x
  3. Step 3: Cross multiply
    355.07x = 532.61 × 138.66
  4. Step 4: Simplify right side
    355.07x = 73,851.01
  5. Step 5: Solve for x
    x = 73,851.01/355.07
  6. Step 6: Final answer
    x = 207.99

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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.