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Finding the Fourth Proportional to 189.54, 284.05 and 102.66

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Solution

The fourth proportional to 189.54, 284.05 and 102.66 is: 153.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.54 : 284.05 = 102.66 : x
  2. Step 2: Convert to fraction form
    189.54/284.05 = 102.66/x
  3. Step 3: Cross multiply
    189.54x = 284.05 × 102.66
  4. Step 4: Simplify right side
    189.54x = 29,160.57
  5. Step 5: Solve for x
    x = 29,160.57/189.54
  6. Step 6: Final answer
    x = 153.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.