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Finding the Fourth Proportional to 458.38, 633.10 and 310.75

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Solution

The fourth proportional to 458.38, 633.10 and 310.75 is: 429.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.38 : 633.10 = 310.75 : x
  2. Step 2: Convert to fraction form
    458.38/633.10 = 310.75/x
  3. Step 3: Cross multiply
    458.38x = 633.10 × 310.75
  4. Step 4: Simplify right side
    458.38x = 196,735.83
  5. Step 5: Solve for x
    x = 196,735.83/458.38
  6. Step 6: Final answer
    x = 429.20

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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.