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Finding the Fourth Proportional to 545.20, 816.42 and 362.05

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Solution

The fourth proportional to 545.20, 816.42 and 362.05 is: 542.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.20 : 816.42 = 362.05 : x
  2. Step 2: Convert to fraction form
    545.20/816.42 = 362.05/x
  3. Step 3: Cross multiply
    545.20x = 816.42 × 362.05
  4. Step 4: Simplify right side
    545.20x = 295,584.86
  5. Step 5: Solve for x
    x = 295,584.86/545.20
  6. Step 6: Final answer
    x = 542.16

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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.