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Finding the Fourth Proportional to 189.91, 284.61 and 144.12

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Solution

The fourth proportional to 189.91, 284.61 and 144.12 is: 215.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.91 : 284.61 = 144.12 : x
  2. Step 2: Convert to fraction form
    189.91/284.61 = 144.12/x
  3. Step 3: Cross multiply
    189.91x = 284.61 × 144.12
  4. Step 4: Simplify right side
    189.91x = 41,017.99
  5. Step 5: Solve for x
    x = 41,017.99/189.91
  6. Step 6: Final answer
    x = 215.99

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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.