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Finding the Fourth Proportional to 101.14, 140.29 and 97.50

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Solution

The fourth proportional to 101.14, 140.29 and 97.50 is: 135.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.14 : 140.29 = 97.50 : x
  2. Step 2: Convert to fraction form
    101.14/140.29 = 97.50/x
  3. Step 3: Cross multiply
    101.14x = 140.29 × 97.50
  4. Step 4: Simplify right side
    101.14x = 13,678.28
  5. Step 5: Solve for x
    x = 13,678.28/101.14
  6. Step 6: Final answer
    x = 135.24

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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.