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Finding the Fourth Proportional to 189.62, 284.11 and 138.19

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Solution

The fourth proportional to 189.62, 284.11 and 138.19 is: 207.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.62 : 284.11 = 138.19 : x
  2. Step 2: Convert to fraction form
    189.62/284.11 = 138.19/x
  3. Step 3: Cross multiply
    189.62x = 284.11 × 138.19
  4. Step 4: Simplify right side
    189.62x = 39,261.16
  5. Step 5: Solve for x
    x = 39,261.16/189.62
  6. Step 6: Final answer
    x = 207.05

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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.