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Finding the Fourth Proportional to 101.24, 150.75 and 100.02

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Solution

The fourth proportional to 101.24, 150.75 and 100.02 is: 148.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.24 : 150.75 = 100.02 : x
  2. Step 2: Convert to fraction form
    101.24/150.75 = 100.02/x
  3. Step 3: Cross multiply
    101.24x = 150.75 × 100.02
  4. Step 4: Simplify right side
    101.24x = 15,077.51
  5. Step 5: Solve for x
    x = 15,077.51/101.24
  6. Step 6: Final answer
    x = 148.93

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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.