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Finding the Fourth Proportional to 457.75, 631.71 and 250.75

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Solution

The fourth proportional to 457.75, 631.71 and 250.75 is: 346.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.75 : 631.71 = 250.75 : x
  2. Step 2: Convert to fraction form
    457.75/631.71 = 250.75/x
  3. Step 3: Cross multiply
    457.75x = 631.71 × 250.75
  4. Step 4: Simplify right side
    457.75x = 158,401.28
  5. Step 5: Solve for x
    x = 158,401.28/457.75
  6. Step 6: Final answer
    x = 346.04

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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.