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Finding the Fourth Proportional to 98.16, 135.48 and 81.76

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Solution

The fourth proportional to 98.16, 135.48 and 81.76 is: 112.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.16 : 135.48 = 81.76 : x
  2. Step 2: Convert to fraction form
    98.16/135.48 = 81.76/x
  3. Step 3: Cross multiply
    98.16x = 135.48 × 81.76
  4. Step 4: Simplify right side
    98.16x = 11,076.84
  5. Step 5: Solve for x
    x = 11,076.84/98.16
  6. Step 6: Final answer
    x = 112.84

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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.