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Finding the Fourth Proportional to 379.97, 524.55 and 240.23

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Solution

The fourth proportional to 379.97, 524.55 and 240.23 is: 331.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.97 : 524.55 = 240.23 : x
  2. Step 2: Convert to fraction form
    379.97/524.55 = 240.23/x
  3. Step 3: Cross multiply
    379.97x = 524.55 × 240.23
  4. Step 4: Simplify right side
    379.97x = 126,014.86
  5. Step 5: Solve for x
    x = 126,014.86/379.97
  6. Step 6: Final answer
    x = 331.64

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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.