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Finding the Fourth Proportional to 457.28, 631.76 and 299.85

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Solution

The fourth proportional to 457.28, 631.76 and 299.85 is: 414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.28 : 631.76 = 299.85 : x
  2. Step 2: Convert to fraction form
    457.28/631.76 = 299.85/x
  3. Step 3: Cross multiply
    457.28x = 631.76 × 299.85
  4. Step 4: Simplify right side
    457.28x = 189,432.86
  5. Step 5: Solve for x
    x = 189,432.86/457.28
  6. Step 6: Final answer
    x = 414.26

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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.