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Finding the Fourth Proportional to 467.52, 644.48 and 342.88

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Solution

The fourth proportional to 467.52, 644.48 and 342.88 is: 472.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.52 : 644.48 = 342.88 : x
  2. Step 2: Convert to fraction form
    467.52/644.48 = 342.88/x
  3. Step 3: Cross multiply
    467.52x = 644.48 × 342.88
  4. Step 4: Simplify right side
    467.52x = 220,979.30
  5. Step 5: Solve for x
    x = 220,979.30/467.52
  6. Step 6: Final answer
    x = 472.66

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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.