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Finding the Fourth Proportional to 189.78, 284.46 and 141.90

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Solution

The fourth proportional to 189.78, 284.46 and 141.90 is: 212.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.78 : 284.46 = 141.90 : x
  2. Step 2: Convert to fraction form
    189.78/284.46 = 141.90/x
  3. Step 3: Cross multiply
    189.78x = 284.46 × 141.90
  4. Step 4: Simplify right side
    189.78x = 40,364.87
  5. Step 5: Solve for x
    x = 40,364.87/189.78
  6. Step 6: Final answer
    x = 212.69

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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.