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Finding the Fourth Proportional to 363.90, 542.96 and 315.90

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Solution

The fourth proportional to 363.90, 542.96 and 315.90 is: 471.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.90 : 542.96 = 315.90 : x
  2. Step 2: Convert to fraction form
    363.90/542.96 = 315.90/x
  3. Step 3: Cross multiply
    363.90x = 542.96 × 315.90
  4. Step 4: Simplify right side
    363.90x = 171,521.06
  5. Step 5: Solve for x
    x = 171,521.06/363.90
  6. Step 6: Final answer
    x = 471.34

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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.