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Finding the Fourth Proportional to 88.78, 133.18 and 27.94

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Solution

The fourth proportional to 88.78, 133.18 and 27.94 is: 41.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.78 : 133.18 = 27.94 : x
  2. Step 2: Convert to fraction form
    88.78/133.18 = 27.94/x
  3. Step 3: Cross multiply
    88.78x = 133.18 × 27.94
  4. Step 4: Simplify right side
    88.78x = 3,721.05
  5. Step 5: Solve for x
    x = 3,721.05/88.78
  6. Step 6: Final answer
    x = 41.91

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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.