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Finding the Fourth Proportional to 342.92, 472.96 and 232.22

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Solution

The fourth proportional to 342.92, 472.96 and 232.22 is: 320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.92 : 472.96 = 232.22 : x
  2. Step 2: Convert to fraction form
    342.92/472.96 = 232.22/x
  3. Step 3: Cross multiply
    342.92x = 472.96 × 232.22
  4. Step 4: Simplify right side
    342.92x = 109,830.77
  5. Step 5: Solve for x
    x = 109,830.77/342.92
  6. Step 6: Final answer
    x = 320.28

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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.