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Finding the Fourth Proportional to 189.70, 284.54 and 78.49

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Solution

The fourth proportional to 189.70, 284.54 and 78.49 is: 117.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.70 : 284.54 = 78.49 : x
  2. Step 2: Convert to fraction form
    189.70/284.54 = 78.49/x
  3. Step 3: Cross multiply
    189.70x = 284.54 × 78.49
  4. Step 4: Simplify right side
    189.70x = 22,333.15
  5. Step 5: Solve for x
    x = 22,333.15/189.70
  6. Step 6: Final answer
    x = 117.73

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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.