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Finding the Fourth Proportional to 97.84, 134.26 and 88.60

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Solution

The fourth proportional to 97.84, 134.26 and 88.60 is: 121.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.84 : 134.26 = 88.60 : x
  2. Step 2: Convert to fraction form
    97.84/134.26 = 88.60/x
  3. Step 3: Cross multiply
    97.84x = 134.26 × 88.60
  4. Step 4: Simplify right side
    97.84x = 11,895.44
  5. Step 5: Solve for x
    x = 11,895.44/97.84
  6. Step 6: Final answer
    x = 121.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.