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Finding the Fourth Proportional to 97.70, 147.28 and 91.09

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Solution

The fourth proportional to 97.70, 147.28 and 91.09 is: 137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.70 : 147.28 = 91.09 : x
  2. Step 2: Convert to fraction form
    97.70/147.28 = 91.09/x
  3. Step 3: Cross multiply
    97.70x = 147.28 × 91.09
  4. Step 4: Simplify right side
    97.70x = 13,416.10
  5. Step 5: Solve for x
    x = 13,416.10/97.70
  6. Step 6: Final answer
    x = 137.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.