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Finding the Fourth Proportional to 144.75, 215.48 and 140.70

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Solution

The fourth proportional to 144.75, 215.48 and 140.70 is: 209.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.75 : 215.48 = 140.70 : x
  2. Step 2: Convert to fraction form
    144.75/215.48 = 140.70/x
  3. Step 3: Cross multiply
    144.75x = 215.48 × 140.70
  4. Step 4: Simplify right side
    144.75x = 30,317.33
  5. Step 5: Solve for x
    x = 30,317.33/144.75
  6. Step 6: Final answer
    x = 209.45

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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.