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Finding the Fourth Proportional to 188.58, 260.20 and 114.88

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Solution

The fourth proportional to 188.58, 260.20 and 114.88 is: 158.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.58 : 260.20 = 114.88 : x
  2. Step 2: Convert to fraction form
    188.58/260.20 = 114.88/x
  3. Step 3: Cross multiply
    188.58x = 260.20 × 114.88
  4. Step 4: Simplify right side
    188.58x = 29,891.78
  5. Step 5: Solve for x
    x = 29,891.78/188.58
  6. Step 6: Final answer
    x = 158.51

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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.