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Finding the Fourth Proportional to 158.47, 218.59 and 141.19

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Solution

The fourth proportional to 158.47, 218.59 and 141.19 is: 194.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.47 : 218.59 = 141.19 : x
  2. Step 2: Convert to fraction form
    158.47/218.59 = 141.19/x
  3. Step 3: Cross multiply
    158.47x = 218.59 × 141.19
  4. Step 4: Simplify right side
    158.47x = 30,862.72
  5. Step 5: Solve for x
    x = 30,862.72/158.47
  6. Step 6: Final answer
    x = 194.75

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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.