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Finding the Fourth Proportional to 238.84, 329.70 and 151.54

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Solution

The fourth proportional to 238.84, 329.70 and 151.54 is: 209.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.84 : 329.70 = 151.54 : x
  2. Step 2: Convert to fraction form
    238.84/329.70 = 151.54/x
  3. Step 3: Cross multiply
    238.84x = 329.70 × 151.54
  4. Step 4: Simplify right side
    238.84x = 49,962.74
  5. Step 5: Solve for x
    x = 49,962.74/238.84
  6. Step 6: Final answer
    x = 209.19

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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.