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Finding the Fourth Proportional to 457.20, 631.17 and 310.05

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Solution

The fourth proportional to 457.20, 631.17 and 310.05 is: 428.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.20 : 631.17 = 310.05 : x
  2. Step 2: Convert to fraction form
    457.20/631.17 = 310.05/x
  3. Step 3: Cross multiply
    457.20x = 631.17 × 310.05
  4. Step 4: Simplify right side
    457.20x = 195,694.26
  5. Step 5: Solve for x
    x = 195,694.26/457.20
  6. Step 6: Final answer
    x = 428.03

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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.