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Finding the Fourth Proportional to 158.10, 218.19 and 142.48

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Solution

The fourth proportional to 158.10, 218.19 and 142.48 is: 196.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.10 : 218.19 = 142.48 : x
  2. Step 2: Convert to fraction form
    158.10/218.19 = 142.48/x
  3. Step 3: Cross multiply
    158.10x = 218.19 × 142.48
  4. Step 4: Simplify right side
    158.10x = 31,087.71
  5. Step 5: Solve for x
    x = 31,087.71/158.10
  6. Step 6: Final answer
    x = 196.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.