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Finding the Fourth Proportional to 142.42, 212.38 and 131.20

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Solution

The fourth proportional to 142.42, 212.38 and 131.20 is: 195.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.42 : 212.38 = 131.20 : x
  2. Step 2: Convert to fraction form
    142.42/212.38 = 131.20/x
  3. Step 3: Cross multiply
    142.42x = 212.38 × 131.20
  4. Step 4: Simplify right side
    142.42x = 27,864.26
  5. Step 5: Solve for x
    x = 27,864.26/142.42
  6. Step 6: Final answer
    x = 195.65

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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.