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Finding the Fourth Proportional to 150.14, 223.61 and 140.12

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Solution

The fourth proportional to 150.14, 223.61 and 140.12 is: 208.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.14 : 223.61 = 140.12 : x
  2. Step 2: Convert to fraction form
    150.14/223.61 = 140.12/x
  3. Step 3: Cross multiply
    150.14x = 223.61 × 140.12
  4. Step 4: Simplify right side
    150.14x = 31,332.23
  5. Step 5: Solve for x
    x = 31,332.23/150.14
  6. Step 6: Final answer
    x = 208.69

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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.