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Finding the Fourth Proportional to 497.27, 686.25 and 320.29

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Solution

The fourth proportional to 497.27, 686.25 and 320.29 is: 442.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.27 : 686.25 = 320.29 : x
  2. Step 2: Convert to fraction form
    497.27/686.25 = 320.29/x
  3. Step 3: Cross multiply
    497.27x = 686.25 × 320.29
  4. Step 4: Simplify right side
    497.27x = 219,797.30
  5. Step 5: Solve for x
    x = 219,797.30/497.27
  6. Step 6: Final answer
    x = 442.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.