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Finding the Fourth Proportional to 342.76, 472.80 and 224.92

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Solution

The fourth proportional to 342.76, 472.80 and 224.92 is: 310.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.76 : 472.80 = 224.92 : x
  2. Step 2: Convert to fraction form
    342.76/472.80 = 224.92/x
  3. Step 3: Cross multiply
    342.76x = 472.80 × 224.92
  4. Step 4: Simplify right side
    342.76x = 106,342.18
  5. Step 5: Solve for x
    x = 106,342.18/342.76
  6. Step 6: Final answer
    x = 310.25

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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.