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Finding the Fourth Proportional to 312.97, 432.02 and 206.61

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Solution

The fourth proportional to 312.97, 432.02 and 206.61 is: 285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.97 : 432.02 = 206.61 : x
  2. Step 2: Convert to fraction form
    312.97/432.02 = 206.61/x
  3. Step 3: Cross multiply
    312.97x = 432.02 × 206.61
  4. Step 4: Simplify right side
    312.97x = 89,256.46
  5. Step 5: Solve for x
    x = 89,256.46/312.97
  6. Step 6: Final answer
    x = 285.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.