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Finding the Fourth Proportional to 189.40, 261.48 and 123.92

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Solution

The fourth proportional to 189.40, 261.48 and 123.92 is: 171.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.40 : 261.48 = 123.92 : x
  2. Step 2: Convert to fraction form
    189.40/261.48 = 123.92/x
  3. Step 3: Cross multiply
    189.40x = 261.48 × 123.92
  4. Step 4: Simplify right side
    189.40x = 32,402.60
  5. Step 5: Solve for x
    x = 32,402.60/189.40
  6. Step 6: Final answer
    x = 171.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.