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Finding the Fourth Proportional to 88.82, 122.56 and 53.85

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Solution

The fourth proportional to 88.82, 122.56 and 53.85 is: 74.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.82 : 122.56 = 53.85 : x
  2. Step 2: Convert to fraction form
    88.82/122.56 = 53.85/x
  3. Step 3: Cross multiply
    88.82x = 122.56 × 53.85
  4. Step 4: Simplify right side
    88.82x = 6,600.11
  5. Step 5: Solve for x
    x = 6,600.11/88.82
  6. Step 6: Final answer
    x = 74.31

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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.