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Finding the Fourth Proportional to 189.80, 286.45 and 184.94

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Solution

The fourth proportional to 189.80, 286.45 and 184.94 is: 279.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.80 : 286.45 = 184.94 : x
  2. Step 2: Convert to fraction form
    189.80/286.45 = 184.94/x
  3. Step 3: Cross multiply
    189.80x = 286.45 × 184.94
  4. Step 4: Simplify right side
    189.80x = 52,975.24
  5. Step 5: Solve for x
    x = 52,975.24/189.80
  6. Step 6: Final answer
    x = 279.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.