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Finding the Fourth Proportional to 238.06, 356.95 and 75.66

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Solution

The fourth proportional to 238.06, 356.95 and 75.66 is: 113.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.06 : 356.95 = 75.66 : x
  2. Step 2: Convert to fraction form
    238.06/356.95 = 75.66/x
  3. Step 3: Cross multiply
    238.06x = 356.95 × 75.66
  4. Step 4: Simplify right side
    238.06x = 27,006.84
  5. Step 5: Solve for x
    x = 27,006.84/238.06
  6. Step 6: Final answer
    x = 113.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.