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Finding the Fourth Proportional to 191.59, 264.50 and 147.25

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Solution

The fourth proportional to 191.59, 264.50 and 147.25 is: 203.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.59 : 264.50 = 147.25 : x
  2. Step 2: Convert to fraction form
    191.59/264.50 = 147.25/x
  3. Step 3: Cross multiply
    191.59x = 264.50 × 147.25
  4. Step 4: Simplify right side
    191.59x = 38,945.57
  5. Step 5: Solve for x
    x = 38,945.57/191.59
  6. Step 6: Final answer
    x = 203.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.