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Finding the Fourth Proportional to 378.95, 523.10 and 239.13

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Solution

The fourth proportional to 378.95, 523.10 and 239.13 is: 330.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.95 : 523.10 = 239.13 : x
  2. Step 2: Convert to fraction form
    378.95/523.10 = 239.13/x
  3. Step 3: Cross multiply
    378.95x = 523.10 × 239.13
  4. Step 4: Simplify right side
    378.95x = 125,089.50
  5. Step 5: Solve for x
    x = 125,089.50/378.95
  6. Step 6: Final answer
    x = 330.10

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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.