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Finding the Fourth Proportional to 144.81, 218.86 and 142.29

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Solution

The fourth proportional to 144.81, 218.86 and 142.29 is: 215.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.81 : 218.86 = 142.29 : x
  2. Step 2: Convert to fraction form
    144.81/218.86 = 142.29/x
  3. Step 3: Cross multiply
    144.81x = 218.86 × 142.29
  4. Step 4: Simplify right side
    144.81x = 31,141.23
  5. Step 5: Solve for x
    x = 31,141.23/144.81
  6. Step 6: Final answer
    x = 215.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.