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Finding the Fourth Proportional to 191.13, 263.78 and 133.03

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Solution

The fourth proportional to 191.13, 263.78 and 133.03 is: 183.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.13 : 263.78 = 133.03 : x
  2. Step 2: Convert to fraction form
    191.13/263.78 = 133.03/x
  3. Step 3: Cross multiply
    191.13x = 263.78 × 133.03
  4. Step 4: Simplify right side
    191.13x = 35,089.99
  5. Step 5: Solve for x
    x = 35,089.99/191.13
  6. Step 6: Final answer
    x = 183.60

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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.