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Finding the Fourth Proportional to 143.38, 216.10 and 142.16

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Solution

The fourth proportional to 143.38, 216.10 and 142.16 is: 214.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.38 : 216.10 = 142.16 : x
  2. Step 2: Convert to fraction form
    143.38/216.10 = 142.16/x
  3. Step 3: Cross multiply
    143.38x = 216.10 × 142.16
  4. Step 4: Simplify right side
    143.38x = 30,720.78
  5. Step 5: Solve for x
    x = 30,720.78/143.38
  6. Step 6: Final answer
    x = 214.26

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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.