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Finding the Fourth Proportional to 458.22, 631.98 and 310.80

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Solution

The fourth proportional to 458.22, 631.98 and 310.80 is: 428.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.22 : 631.98 = 310.80 : x
  2. Step 2: Convert to fraction form
    458.22/631.98 = 310.80/x
  3. Step 3: Cross multiply
    458.22x = 631.98 × 310.80
  4. Step 4: Simplify right side
    458.22x = 196,419.38
  5. Step 5: Solve for x
    x = 196,419.38/458.22
  6. Step 6: Final answer
    x = 428.66

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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.