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Finding the Fourth Proportional to 189.61, 282.89 and 184.06

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Solution

The fourth proportional to 189.61, 282.89 and 184.06 is: 274.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.61 : 282.89 = 184.06 : x
  2. Step 2: Convert to fraction form
    189.61/282.89 = 184.06/x
  3. Step 3: Cross multiply
    189.61x = 282.89 × 184.06
  4. Step 4: Simplify right side
    189.61x = 52,067.96
  5. Step 5: Solve for x
    x = 52,067.96/189.61
  6. Step 6: Final answer
    x = 274.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.