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Finding the Fourth Proportional to 98.47, 134.66 and 97.06

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Solution

The fourth proportional to 98.47, 134.66 and 97.06 is: 132.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.47 : 134.66 = 97.06 : x
  2. Step 2: Convert to fraction form
    98.47/134.66 = 97.06/x
  3. Step 3: Cross multiply
    98.47x = 134.66 × 97.06
  4. Step 4: Simplify right side
    98.47x = 13,070.10
  5. Step 5: Solve for x
    x = 13,070.10/98.47
  6. Step 6: Final answer
    x = 132.73

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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.