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Finding the Fourth Proportional to 143.79, 215.64 and 83.04

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Solution

The fourth proportional to 143.79, 215.64 and 83.04 is: 124.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.79 : 215.64 = 83.04 : x
  2. Step 2: Convert to fraction form
    143.79/215.64 = 83.04/x
  3. Step 3: Cross multiply
    143.79x = 215.64 × 83.04
  4. Step 4: Simplify right side
    143.79x = 17,906.75
  5. Step 5: Solve for x
    x = 17,906.75/143.79
  6. Step 6: Final answer
    x = 124.53

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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.