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Finding the Fourth Proportional to 342.71, 472.91 and 216.52

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Solution

The fourth proportional to 342.71, 472.91 and 216.52 is: 298.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.71 : 472.91 = 216.52 : x
  2. Step 2: Convert to fraction form
    342.71/472.91 = 216.52/x
  3. Step 3: Cross multiply
    342.71x = 472.91 × 216.52
  4. Step 4: Simplify right side
    342.71x = 102,394.47
  5. Step 5: Solve for x
    x = 102,394.47/342.71
  6. Step 6: Final answer
    x = 298.78

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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.