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Finding the Fourth Proportional to 189.84, 283.20 and 185.04

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Solution

The fourth proportional to 189.84, 283.20 and 185.04 is: 276.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.84 : 283.20 = 185.04 : x
  2. Step 2: Convert to fraction form
    189.84/283.20 = 185.04/x
  3. Step 3: Cross multiply
    189.84x = 283.20 × 185.04
  4. Step 4: Simplify right side
    189.84x = 52,403.33
  5. Step 5: Solve for x
    x = 52,403.33/189.84
  6. Step 6: Final answer
    x = 276.04

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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.