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Finding the Fourth Proportional to 497.22, 686.50 and 310.80

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Solution

The fourth proportional to 497.22, 686.50 and 310.80 is: 429.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.22 : 686.50 = 310.80 : x
  2. Step 2: Convert to fraction form
    497.22/686.50 = 310.80/x
  3. Step 3: Cross multiply
    497.22x = 686.50 × 310.80
  4. Step 4: Simplify right side
    497.22x = 213,364.20
  5. Step 5: Solve for x
    x = 213,364.20/497.22
  6. Step 6: Final answer
    x = 429.11

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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.