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Finding the Fourth Proportional to 144.20, 216.45 and 97.79

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Solution

The fourth proportional to 144.20, 216.45 and 97.79 is: 146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.20 : 216.45 = 97.79 : x
  2. Step 2: Convert to fraction form
    144.20/216.45 = 97.79/x
  3. Step 3: Cross multiply
    144.20x = 216.45 × 97.79
  4. Step 4: Simplify right side
    144.20x = 21,165.20
  5. Step 5: Solve for x
    x = 21,165.20/144.20
  6. Step 6: Final answer
    x = 146.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.