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Finding the Fourth Proportional to 97.12, 146.36 and 91.05

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Solution

The fourth proportional to 97.12, 146.36 and 91.05 is: 137.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.12 : 146.36 = 91.05 : x
  2. Step 2: Convert to fraction form
    97.12/146.36 = 91.05/x
  3. Step 3: Cross multiply
    97.12x = 146.36 × 91.05
  4. Step 4: Simplify right side
    97.12x = 13,326.08
  5. Step 5: Solve for x
    x = 13,326.08/97.12
  6. Step 6: Final answer
    x = 137.21

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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.