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Finding the Fourth Proportional to 143.66, 215.49 and 103.25

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Solution

The fourth proportional to 143.66, 215.49 and 103.25 is: 154.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.66 : 215.49 = 103.25 : x
  2. Step 2: Convert to fraction form
    143.66/215.49 = 103.25/x
  3. Step 3: Cross multiply
    143.66x = 215.49 × 103.25
  4. Step 4: Simplify right side
    143.66x = 22,249.34
  5. Step 5: Solve for x
    x = 22,249.34/143.66
  6. Step 6: Final answer
    x = 154.88

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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.