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Finding the Fourth Proportional to 158.52, 218.80 and 114.88

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Solution

The fourth proportional to 158.52, 218.80 and 114.88 is: 158.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.52 : 218.80 = 114.88 : x
  2. Step 2: Convert to fraction form
    158.52/218.80 = 114.88/x
  3. Step 3: Cross multiply
    158.52x = 218.80 × 114.88
  4. Step 4: Simplify right side
    158.52x = 25,135.74
  5. Step 5: Solve for x
    x = 25,135.74/158.52
  6. Step 6: Final answer
    x = 158.57

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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.