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Finding the Fourth Proportional to 142.96, 213.59 and 138.18

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Solution

The fourth proportional to 142.96, 213.59 and 138.18 is: 206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.96 : 213.59 = 138.18 : x
  2. Step 2: Convert to fraction form
    142.96/213.59 = 138.18/x
  3. Step 3: Cross multiply
    142.96x = 213.59 × 138.18
  4. Step 4: Simplify right side
    142.96x = 29,513.87
  5. Step 5: Solve for x
    x = 29,513.87/142.96
  6. Step 6: Final answer
    x = 206.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.