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Finding the Fourth Proportional to 150.47, 226.85 and 140.03

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Solution

The fourth proportional to 150.47, 226.85 and 140.03 is: 211.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.47 : 226.85 = 140.03 : x
  2. Step 2: Convert to fraction form
    150.47/226.85 = 140.03/x
  3. Step 3: Cross multiply
    150.47x = 226.85 × 140.03
  4. Step 4: Simplify right side
    150.47x = 31,765.81
  5. Step 5: Solve for x
    x = 31,765.81/150.47
  6. Step 6: Final answer
    x = 211.11

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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.