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Finding the Fourth Proportional to 143.20, 215.52 and 121.76

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Solution

The fourth proportional to 143.20, 215.52 and 121.76 is: 183.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.20 : 215.52 = 121.76 : x
  2. Step 2: Convert to fraction form
    143.20/215.52 = 121.76/x
  3. Step 3: Cross multiply
    143.20x = 215.52 × 121.76
  4. Step 4: Simplify right side
    143.20x = 26,241.72
  5. Step 5: Solve for x
    x = 26,241.72/143.20
  6. Step 6: Final answer
    x = 183.25

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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.