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Finding the Fourth Proportional to 342.25, 472.92 and 253.61

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Solution

The fourth proportional to 342.25, 472.92 and 253.61 is: 350.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.25 : 472.92 = 253.61 : x
  2. Step 2: Convert to fraction form
    342.25/472.92 = 253.61/x
  3. Step 3: Cross multiply
    342.25x = 472.92 × 253.61
  4. Step 4: Simplify right side
    342.25x = 119,937.24
  5. Step 5: Solve for x
    x = 119,937.24/342.25
  6. Step 6: Final answer
    x = 350.44

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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.