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Finding the Fourth Proportional to 189.36, 261.41 and 123.98

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Solution

The fourth proportional to 189.36, 261.41 and 123.98 is: 171.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.36 : 261.41 = 123.98 : x
  2. Step 2: Convert to fraction form
    189.36/261.41 = 123.98/x
  3. Step 3: Cross multiply
    189.36x = 261.41 × 123.98
  4. Step 4: Simplify right side
    189.36x = 32,407.68
  5. Step 5: Solve for x
    x = 32,407.68/189.36
  6. Step 6: Final answer
    x = 171.14

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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.