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Finding the Fourth Proportional to 191.59, 286.09 and 150.55

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Solution

The fourth proportional to 191.59, 286.09 and 150.55 is: 224.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.59 : 286.09 = 150.55 : x
  2. Step 2: Convert to fraction form
    191.59/286.09 = 150.55/x
  3. Step 3: Cross multiply
    191.59x = 286.09 × 150.55
  4. Step 4: Simplify right side
    191.59x = 43,070.10
  5. Step 5: Solve for x
    x = 43,070.10/191.59
  6. Step 6: Final answer
    x = 224.80

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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.