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Finding the Fourth Proportional to 159.80, 238.42 and 142.48

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Solution

The fourth proportional to 159.80, 238.42 and 142.48 is: 212.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.80 : 238.42 = 142.48 : x
  2. Step 2: Convert to fraction form
    159.80/238.42 = 142.48/x
  3. Step 3: Cross multiply
    159.80x = 238.42 × 142.48
  4. Step 4: Simplify right side
    159.80x = 33,968.89
  5. Step 5: Solve for x
    x = 33,968.89/159.80
  6. Step 6: Final answer
    x = 212.57

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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.