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Finding the Fourth Proportional to 98.46, 136.68 and 97.41

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Solution

The fourth proportional to 98.46, 136.68 and 97.41 is: 135.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.46 : 136.68 = 97.41 : x
  2. Step 2: Convert to fraction form
    98.46/136.68 = 97.41/x
  3. Step 3: Cross multiply
    98.46x = 136.68 × 97.41
  4. Step 4: Simplify right side
    98.46x = 13,314.00
  5. Step 5: Solve for x
    x = 13,314.00/98.46
  6. Step 6: Final answer
    x = 135.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.