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Finding the Fourth Proportional to 363.93, 500.95 and 345.47

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Solution

The fourth proportional to 363.93, 500.95 and 345.47 is: 475.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.93 : 500.95 = 345.47 : x
  2. Step 2: Convert to fraction form
    363.93/500.95 = 345.47/x
  3. Step 3: Cross multiply
    363.93x = 500.95 × 345.47
  4. Step 4: Simplify right side
    363.93x = 173,061.12
  5. Step 5: Solve for x
    x = 173,061.12/363.93
  6. Step 6: Final answer
    x = 475.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.