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Finding the Fourth Proportional to 457.88, 632.41 and 310.25

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Solution

The fourth proportional to 457.88, 632.41 and 310.25 is: 428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.88 : 632.41 = 310.25 : x
  2. Step 2: Convert to fraction form
    457.88/632.41 = 310.25/x
  3. Step 3: Cross multiply
    457.88x = 632.41 × 310.25
  4. Step 4: Simplify right side
    457.88x = 196,206.01
  5. Step 5: Solve for x
    x = 196,206.01/457.88
  6. Step 6: Final answer
    x = 428.51

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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.