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Finding the Fourth Proportional to 268.15, 400.32 and 229.22

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Solution

The fourth proportional to 268.15, 400.32 and 229.22 is: 342.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.15 : 400.32 = 229.22 : x
  2. Step 2: Convert to fraction form
    268.15/400.32 = 229.22/x
  3. Step 3: Cross multiply
    268.15x = 400.32 × 229.22
  4. Step 4: Simplify right side
    268.15x = 91,761.35
  5. Step 5: Solve for x
    x = 91,761.35/268.15
  6. Step 6: Final answer
    x = 342.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.