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Finding the Fourth Proportional to 101.17, 150.72 and 99.75

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Solution

The fourth proportional to 101.17, 150.72 and 99.75 is: 148.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.17 : 150.72 = 99.75 : x
  2. Step 2: Convert to fraction form
    101.17/150.72 = 99.75/x
  3. Step 3: Cross multiply
    101.17x = 150.72 × 99.75
  4. Step 4: Simplify right side
    101.17x = 15,035.07
  5. Step 5: Solve for x
    x = 15,035.07/101.17
  6. Step 6: Final answer
    x = 148.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.