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Finding the Fourth Proportional to 238.77, 329.45 and 155.88

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Solution

The fourth proportional to 238.77, 329.45 and 155.88 is: 215.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.77 : 329.45 = 155.88 : x
  2. Step 2: Convert to fraction form
    238.77/329.45 = 155.88/x
  3. Step 3: Cross multiply
    238.77x = 329.45 × 155.88
  4. Step 4: Simplify right side
    238.77x = 51,353.89
  5. Step 5: Solve for x
    x = 51,353.89/238.77
  6. Step 6: Final answer
    x = 215.08

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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.