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Finding the Fourth Proportional to 189.84, 261.78 and 124.32

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Solution

The fourth proportional to 189.84, 261.78 and 124.32 is: 171.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.84 : 261.78 = 124.32 : x
  2. Step 2: Convert to fraction form
    189.84/261.78 = 124.32/x
  3. Step 3: Cross multiply
    189.84x = 261.78 × 124.32
  4. Step 4: Simplify right side
    189.84x = 32,544.49
  5. Step 5: Solve for x
    x = 32,544.49/189.84
  6. Step 6: Final answer
    x = 171.43

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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.