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Finding the Fourth Proportional to 238.40, 326.13 and 237.32

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Solution

The fourth proportional to 238.40, 326.13 and 237.32 is: 324.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.40 : 326.13 = 237.32 : x
  2. Step 2: Convert to fraction form
    238.40/326.13 = 237.32/x
  3. Step 3: Cross multiply
    238.40x = 326.13 × 237.32
  4. Step 4: Simplify right side
    238.40x = 77,397.17
  5. Step 5: Solve for x
    x = 77,397.17/238.40
  6. Step 6: Final answer
    x = 324.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.