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Finding the Fourth Proportional to 144.31, 215.22 and 122.78

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Solution

The fourth proportional to 144.31, 215.22 and 122.78 is: 183.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.31 : 215.22 = 122.78 : x
  2. Step 2: Convert to fraction form
    144.31/215.22 = 122.78/x
  3. Step 3: Cross multiply
    144.31x = 215.22 × 122.78
  4. Step 4: Simplify right side
    144.31x = 26,424.71
  5. Step 5: Solve for x
    x = 26,424.71/144.31
  6. Step 6: Final answer
    x = 183.11

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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.