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Finding the Fourth Proportional to 189.90, 261.96 and 127.74

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Solution

The fourth proportional to 189.90, 261.96 and 127.74 is: 176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.90 : 261.96 = 127.74 : x
  2. Step 2: Convert to fraction form
    189.90/261.96 = 127.74/x
  3. Step 3: Cross multiply
    189.90x = 261.96 × 127.74
  4. Step 4: Simplify right side
    189.90x = 33,462.77
  5. Step 5: Solve for x
    x = 33,462.77/189.90
  6. Step 6: Final answer
    x = 176.21

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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.