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Finding the Fourth Proportional to 98.16, 134.31 and 96.84

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Solution

The fourth proportional to 98.16, 134.31 and 96.84 is: 132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.16 : 134.31 = 96.84 : x
  2. Step 2: Convert to fraction form
    98.16/134.31 = 96.84/x
  3. Step 3: Cross multiply
    98.16x = 134.31 × 96.84
  4. Step 4: Simplify right side
    98.16x = 13,006.58
  5. Step 5: Solve for x
    x = 13,006.58/98.16
  6. Step 6: Final answer
    x = 132.50

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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.