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Finding the Fourth Proportional to 191.83, 264.45 and 173.47

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Solution

The fourth proportional to 191.83, 264.45 and 173.47 is: 239.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.83 : 264.45 = 173.47 : x
  2. Step 2: Convert to fraction form
    191.83/264.45 = 173.47/x
  3. Step 3: Cross multiply
    191.83x = 264.45 × 173.47
  4. Step 4: Simplify right side
    191.83x = 45,874.14
  5. Step 5: Solve for x
    x = 45,874.14/191.83
  6. Step 6: Final answer
    x = 239.14

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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.