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Finding the Fourth Proportional to 142.48, 212.09 and 140.32

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Solution

The fourth proportional to 142.48, 212.09 and 140.32 is: 208.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.48 : 212.09 = 140.32 : x
  2. Step 2: Convert to fraction form
    142.48/212.09 = 140.32/x
  3. Step 3: Cross multiply
    142.48x = 212.09 × 140.32
  4. Step 4: Simplify right side
    142.48x = 29,760.47
  5. Step 5: Solve for x
    x = 29,760.47/142.48
  6. Step 6: Final answer
    x = 208.87

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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.