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Finding the Fourth Proportional to 363.09, 542.01 and 319.30

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Solution

The fourth proportional to 363.09, 542.01 and 319.30 is: 476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.09 : 542.01 = 319.30 : x
  2. Step 2: Convert to fraction form
    363.09/542.01 = 319.30/x
  3. Step 3: Cross multiply
    363.09x = 542.01 × 319.30
  4. Step 4: Simplify right side
    363.09x = 173,063.79
  5. Step 5: Solve for x
    x = 173,063.79/363.09
  6. Step 6: Final answer
    x = 476.64

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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.