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Finding the Fourth Proportional to 189.32, 261.54 and 187.88

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Solution

The fourth proportional to 189.32, 261.54 and 187.88 is: 259.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.32 : 261.54 = 187.88 : x
  2. Step 2: Convert to fraction form
    189.32/261.54 = 187.88/x
  3. Step 3: Cross multiply
    189.32x = 261.54 × 187.88
  4. Step 4: Simplify right side
    189.32x = 49,138.14
  5. Step 5: Solve for x
    x = 49,138.14/189.32
  6. Step 6: Final answer
    x = 259.55

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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.