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Finding the Fourth Proportional to 387.99, 537.84 and 363.15

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Solution

The fourth proportional to 387.99, 537.84 and 363.15 is: 503.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.99 : 537.84 = 363.15 : x
  2. Step 2: Convert to fraction form
    387.99/537.84 = 363.15/x
  3. Step 3: Cross multiply
    387.99x = 537.84 × 363.15
  4. Step 4: Simplify right side
    387.99x = 195,316.60
  5. Step 5: Solve for x
    x = 195,316.60/387.99
  6. Step 6: Final answer
    x = 503.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.