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Finding the Fourth Proportional to 363.59, 542.19 and 322.58

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Solution

The fourth proportional to 363.59, 542.19 and 322.58 is: 481.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.59 : 542.19 = 322.58 : x
  2. Step 2: Convert to fraction form
    363.59/542.19 = 322.58/x
  3. Step 3: Cross multiply
    363.59x = 542.19 × 322.58
  4. Step 4: Simplify right side
    363.59x = 174,902.22
  5. Step 5: Solve for x
    x = 174,902.22/363.59
  6. Step 6: Final answer
    x = 481.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.