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Finding the Fourth Proportional to 143.25, 216 and 116.52

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Solution

The fourth proportional to 143.25, 216 and 116.52 is: 175.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.25 : 216 = 116.52 : x
  2. Step 2: Convert to fraction form
    143.25/216 = 116.52/x
  3. Step 3: Cross multiply
    143.25x = 216 × 116.52
  4. Step 4: Simplify right side
    143.25x = 25,168.32
  5. Step 5: Solve for x
    x = 25,168.32/143.25
  6. Step 6: Final answer
    x = 175.70

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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.