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Finding the Fourth Proportional to 410.96, 567.46 and 280.56

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Solution

The fourth proportional to 410.96, 567.46 and 280.56 is: 387.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.96 : 567.46 = 280.56 : x
  2. Step 2: Convert to fraction form
    410.96/567.46 = 280.56/x
  3. Step 3: Cross multiply
    410.96x = 567.46 × 280.56
  4. Step 4: Simplify right side
    410.96x = 159,206.58
  5. Step 5: Solve for x
    x = 159,206.58/410.96
  6. Step 6: Final answer
    x = 387.40

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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.