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Finding the Fourth Proportional to 417.31, 626.54 and 212.02

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Solution

The fourth proportional to 417.31, 626.54 and 212.02 is: 318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.31 : 626.54 = 212.02 : x
  2. Step 2: Convert to fraction form
    417.31/626.54 = 212.02/x
  3. Step 3: Cross multiply
    417.31x = 626.54 × 212.02
  4. Step 4: Simplify right side
    417.31x = 132,836.38
  5. Step 5: Solve for x
    x = 132,836.38/417.31
  6. Step 6: Final answer
    x = 318.32

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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.