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Finding the Fourth Proportional to 191.88, 289.20 and 183.12

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Solution

The fourth proportional to 191.88, 289.20 and 183.12 is: 276.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.88 : 289.20 = 183.12 : x
  2. Step 2: Convert to fraction form
    191.88/289.20 = 183.12/x
  3. Step 3: Cross multiply
    191.88x = 289.20 × 183.12
  4. Step 4: Simplify right side
    191.88x = 52,958.30
  5. Step 5: Solve for x
    x = 52,958.30/191.88
  6. Step 6: Final answer
    x = 276.00

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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.