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Finding the Fourth Proportional to 457.12, 630.89 and 282.43

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Solution

The fourth proportional to 457.12, 630.89 and 282.43 is: 389.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.12 : 630.89 = 282.43 : x
  2. Step 2: Convert to fraction form
    457.12/630.89 = 282.43/x
  3. Step 3: Cross multiply
    457.12x = 630.89 × 282.43
  4. Step 4: Simplify right side
    457.12x = 178,182.26
  5. Step 5: Solve for x
    x = 178,182.26/457.12
  6. Step 6: Final answer
    x = 389.79

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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.