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Finding the Fourth Proportional to 188.88, 283.15 and 91.32

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Solution

The fourth proportional to 188.88, 283.15 and 91.32 is: 136.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.88 : 283.15 = 91.32 : x
  2. Step 2: Convert to fraction form
    188.88/283.15 = 91.32/x
  3. Step 3: Cross multiply
    188.88x = 283.15 × 91.32
  4. Step 4: Simplify right side
    188.88x = 25,857.39
  5. Step 5: Solve for x
    x = 25,857.39/188.88
  6. Step 6: Final answer
    x = 136.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.