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Finding the Fourth Proportional to 143.17, 215.54 and 97.81

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Solution

The fourth proportional to 143.17, 215.54 and 97.81 is: 147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.17 : 215.54 = 97.81 : x
  2. Step 2: Convert to fraction form
    143.17/215.54 = 97.81/x
  3. Step 3: Cross multiply
    143.17x = 215.54 × 97.81
  4. Step 4: Simplify right side
    143.17x = 21,081.97
  5. Step 5: Solve for x
    x = 21,081.97/143.17
  6. Step 6: Final answer
    x = 147.25

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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.