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Finding the Fourth Proportional to 144.39, 215.46 and 129

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Solution

The fourth proportional to 144.39, 215.46 and 129 is: 192.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.39 : 215.46 = 129 : x
  2. Step 2: Convert to fraction form
    144.39/215.46 = 129/x
  3. Step 3: Cross multiply
    144.39x = 215.46 × 129
  4. Step 4: Simplify right side
    144.39x = 27,794.34
  5. Step 5: Solve for x
    x = 27,794.34/144.39
  6. Step 6: Final answer
    x = 192.50

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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.