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Finding the Fourth Proportional to 189.62, 284.43 and 78.49

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Solution

The fourth proportional to 189.62, 284.43 and 78.49 is: 117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.62 : 284.43 = 78.49 : x
  2. Step 2: Convert to fraction form
    189.62/284.43 = 78.49/x
  3. Step 3: Cross multiply
    189.62x = 284.43 × 78.49
  4. Step 4: Simplify right side
    189.62x = 22,324.91
  5. Step 5: Solve for x
    x = 22,324.91/189.62
  6. Step 6: Final answer
    x = 117.74

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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.