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Finding the Fourth Proportional to 740.20, 1,109.98 and 226.92

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Solution

The fourth proportional to 740.20, 1,109.98 and 226.92 is: 340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.20 : 1,109.98 = 226.92 : x
  2. Step 2: Convert to fraction form
    740.20/1,109.98 = 226.92/x
  3. Step 3: Cross multiply
    740.20x = 1,109.98 × 226.92
  4. Step 4: Simplify right side
    740.20x = 251,876.66
  5. Step 5: Solve for x
    x = 251,876.66/740.20
  6. Step 6: Final answer
    x = 340.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.