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Finding the Fourth Proportional to 363.69, 542.30 and 359.24

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Solution

The fourth proportional to 363.69, 542.30 and 359.24 is: 535.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.69 : 542.30 = 359.24 : x
  2. Step 2: Convert to fraction form
    363.69/542.30 = 359.24/x
  3. Step 3: Cross multiply
    363.69x = 542.30 × 359.24
  4. Step 4: Simplify right side
    363.69x = 194,811.34
  5. Step 5: Solve for x
    x = 194,811.34/363.69
  6. Step 6: Final answer
    x = 535.65

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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.