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Finding the Fourth Proportional to 379.90, 524.17 and 240.07

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Solution

The fourth proportional to 379.90, 524.17 and 240.07 is: 331.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.90 : 524.17 = 240.07 : x
  2. Step 2: Convert to fraction form
    379.90/524.17 = 240.07/x
  3. Step 3: Cross multiply
    379.90x = 524.17 × 240.07
  4. Step 4: Simplify right side
    379.90x = 125,837.49
  5. Step 5: Solve for x
    x = 125,837.49/379.90
  6. Step 6: Final answer
    x = 331.24

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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.