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Finding the Fourth Proportional to 101.91, 153.49 and 97.05

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Solution

The fourth proportional to 101.91, 153.49 and 97.05 is: 146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.91 : 153.49 = 97.05 : x
  2. Step 2: Convert to fraction form
    101.91/153.49 = 97.05/x
  3. Step 3: Cross multiply
    101.91x = 153.49 × 97.05
  4. Step 4: Simplify right side
    101.91x = 14,896.20
  5. Step 5: Solve for x
    x = 14,896.20/101.91
  6. Step 6: Final answer
    x = 146.17

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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.