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Finding the Fourth Proportional to 144.14, 215 and 132.35

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Solution

The fourth proportional to 144.14, 215 and 132.35 is: 197.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.14 : 215 = 132.35 : x
  2. Step 2: Convert to fraction form
    144.14/215 = 132.35/x
  3. Step 3: Cross multiply
    144.14x = 215 × 132.35
  4. Step 4: Simplify right side
    144.14x = 28,455.25
  5. Step 5: Solve for x
    x = 28,455.25/144.14
  6. Step 6: Final answer
    x = 197.41

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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.