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Finding the Fourth Proportional to 410.90, 567.43 and 280.29

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Solution

The fourth proportional to 410.90, 567.43 and 280.29 is: 387.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.90 : 567.43 = 280.29 : x
  2. Step 2: Convert to fraction form
    410.90/567.43 = 280.29/x
  3. Step 3: Cross multiply
    410.90x = 567.43 × 280.29
  4. Step 4: Simplify right side
    410.90x = 159,044.95
  5. Step 5: Solve for x
    x = 159,044.95/410.90
  6. Step 6: Final answer
    x = 387.06

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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.