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Finding the Fourth Proportional to 363.86, 545.41 and 264.79

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Solution

The fourth proportional to 363.86, 545.41 and 264.79 is: 396.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.86 : 545.41 = 264.79 : x
  2. Step 2: Convert to fraction form
    363.86/545.41 = 264.79/x
  3. Step 3: Cross multiply
    363.86x = 545.41 × 264.79
  4. Step 4: Simplify right side
    363.86x = 144,420.13
  5. Step 5: Solve for x
    x = 144,420.13/363.86
  6. Step 6: Final answer
    x = 396.91

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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.