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Finding the Fourth Proportional to 144.51, 215.66 and 129.14

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Solution

The fourth proportional to 144.51, 215.66 and 129.14 is: 192.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.51 : 215.66 = 129.14 : x
  2. Step 2: Convert to fraction form
    144.51/215.66 = 129.14/x
  3. Step 3: Cross multiply
    144.51x = 215.66 × 129.14
  4. Step 4: Simplify right side
    144.51x = 27,848.61
  5. Step 5: Solve for x
    x = 27,848.61/144.51
  6. Step 6: Final answer
    x = 192.71

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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.