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Finding the Fourth Proportional to 143.28, 216.14 and 140.08

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Solution

The fourth proportional to 143.28, 216.14 and 140.08 is: 211.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.28 : 216.14 = 140.08 : x
  2. Step 2: Convert to fraction form
    143.28/216.14 = 140.08/x
  3. Step 3: Cross multiply
    143.28x = 216.14 × 140.08
  4. Step 4: Simplify right side
    143.28x = 30,276.89
  5. Step 5: Solve for x
    x = 30,276.89/143.28
  6. Step 6: Final answer
    x = 211.31

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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.