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Finding the Fourth Proportional to 363.58, 542.90 and 319.32

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Solution

The fourth proportional to 363.58, 542.90 and 319.32 is: 476.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.58 : 542.90 = 319.32 : x
  2. Step 2: Convert to fraction form
    363.58/542.90 = 319.32/x
  3. Step 3: Cross multiply
    363.58x = 542.90 × 319.32
  4. Step 4: Simplify right side
    363.58x = 173,359.63
  5. Step 5: Solve for x
    x = 173,359.63/363.58
  6. Step 6: Final answer
    x = 476.82

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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.