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Finding the Fourth Proportional to 189.50, 284.26 and 86.48

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Solution

The fourth proportional to 189.50, 284.26 and 86.48 is: 129.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.50 : 284.26 = 86.48 : x
  2. Step 2: Convert to fraction form
    189.50/284.26 = 86.48/x
  3. Step 3: Cross multiply
    189.50x = 284.26 × 86.48
  4. Step 4: Simplify right side
    189.50x = 24,580.95
  5. Step 5: Solve for x
    x = 24,580.95/189.50
  6. Step 6: Final answer
    x = 129.71

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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.