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Finding the Fourth Proportional to 226.86, 340.02 and 128.13

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Solution

The fourth proportional to 226.86, 340.02 and 128.13 is: 192.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.86 : 340.02 = 128.13 : x
  2. Step 2: Convert to fraction form
    226.86/340.02 = 128.13/x
  3. Step 3: Cross multiply
    226.86x = 340.02 × 128.13
  4. Step 4: Simplify right side
    226.86x = 43,566.76
  5. Step 5: Solve for x
    x = 43,566.76/226.86
  6. Step 6: Final answer
    x = 192.04

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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.