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Finding the Fourth Proportional to 457.54, 631.41 and 247.72

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Solution

The fourth proportional to 457.54, 631.41 and 247.72 is: 341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.54 : 631.41 = 247.72 : x
  2. Step 2: Convert to fraction form
    457.54/631.41 = 247.72/x
  3. Step 3: Cross multiply
    457.54x = 631.41 × 247.72
  4. Step 4: Simplify right side
    457.54x = 156,410.66
  5. Step 5: Solve for x
    x = 156,410.66/457.54
  6. Step 6: Final answer
    x = 341.85

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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.