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Finding the Fourth Proportional to 363.28, 545.24 and 260.68

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Solution

The fourth proportional to 363.28, 545.24 and 260.68 is: 391.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.28 : 545.24 = 260.68 : x
  2. Step 2: Convert to fraction form
    363.28/545.24 = 260.68/x
  3. Step 3: Cross multiply
    363.28x = 545.24 × 260.68
  4. Step 4: Simplify right side
    363.28x = 142,133.16
  5. Step 5: Solve for x
    x = 142,133.16/363.28
  6. Step 6: Final answer
    x = 391.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.