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Finding the Fourth Proportional to 189.79, 284.61 and 81.50

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Solution

The fourth proportional to 189.79, 284.61 and 81.50 is: 122.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.79 : 284.61 = 81.50 : x
  2. Step 2: Convert to fraction form
    189.79/284.61 = 81.50/x
  3. Step 3: Cross multiply
    189.79x = 284.61 × 81.50
  4. Step 4: Simplify right side
    189.79x = 23,195.31
  5. Step 5: Solve for x
    x = 23,195.31/189.79
  6. Step 6: Final answer
    x = 122.22

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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.