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Finding the Fourth Proportional to 497.28, 686.34 and 290.28

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Solution

The fourth proportional to 497.28, 686.34 and 290.28 is: 400.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.28 : 686.34 = 290.28 : x
  2. Step 2: Convert to fraction form
    497.28/686.34 = 290.28/x
  3. Step 3: Cross multiply
    497.28x = 686.34 × 290.28
  4. Step 4: Simplify right side
    497.28x = 199,230.78
  5. Step 5: Solve for x
    x = 199,230.78/497.28
  6. Step 6: Final answer
    x = 400.64

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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.