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Finding the Fourth Proportional to 212.71, 293.17 and 147.13

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Solution

The fourth proportional to 212.71, 293.17 and 147.13 is: 202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.71 : 293.17 = 147.13 : x
  2. Step 2: Convert to fraction form
    212.71/293.17 = 147.13/x
  3. Step 3: Cross multiply
    212.71x = 293.17 × 147.13
  4. Step 4: Simplify right side
    212.71x = 43,134.10
  5. Step 5: Solve for x
    x = 43,134.10/212.71
  6. Step 6: Final answer
    x = 202.78

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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.