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Finding the Fourth Proportional to 238.88, 329.57 and 151.40

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Solution

The fourth proportional to 238.88, 329.57 and 151.40 is: 208.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.88 : 329.57 = 151.40 : x
  2. Step 2: Convert to fraction form
    238.88/329.57 = 151.40/x
  3. Step 3: Cross multiply
    238.88x = 329.57 × 151.40
  4. Step 4: Simplify right side
    238.88x = 49,897.53
  5. Step 5: Solve for x
    x = 49,897.53/238.88
  6. Step 6: Final answer
    x = 208.88

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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.