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Finding the Fourth Proportional to 380.13, 524.79 and 240.42

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Solution

The fourth proportional to 380.13, 524.79 and 240.42 is: 331.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.13 : 524.79 = 240.42 : x
  2. Step 2: Convert to fraction form
    380.13/524.79 = 240.42/x
  3. Step 3: Cross multiply
    380.13x = 524.79 × 240.42
  4. Step 4: Simplify right side
    380.13x = 126,170.01
  5. Step 5: Solve for x
    x = 126,170.01/380.13
  6. Step 6: Final answer
    x = 331.91

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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.