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Finding the Fourth Proportional to 189.54, 261.33 and 154.53

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Solution

The fourth proportional to 189.54, 261.33 and 154.53 is: 213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.54 : 261.33 = 154.53 : x
  2. Step 2: Convert to fraction form
    189.54/261.33 = 154.53/x
  3. Step 3: Cross multiply
    189.54x = 261.33 × 154.53
  4. Step 4: Simplify right side
    189.54x = 40,383.48
  5. Step 5: Solve for x
    x = 40,383.48/189.54
  6. Step 6: Final answer
    x = 213.06

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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.