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Finding the Fourth Proportional to 191.13, 263.79 and 113.51

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Solution

The fourth proportional to 191.13, 263.79 and 113.51 is: 156.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.13 : 263.79 = 113.51 : x
  2. Step 2: Convert to fraction form
    191.13/263.79 = 113.51/x
  3. Step 3: Cross multiply
    191.13x = 263.79 × 113.51
  4. Step 4: Simplify right side
    191.13x = 29,942.24
  5. Step 5: Solve for x
    x = 29,942.24/191.13
  6. Step 6: Final answer
    x = 156.66

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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.