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Finding the Fourth Proportional to 268.86, 401.20 and 238.10

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Solution

The fourth proportional to 268.86, 401.20 and 238.10 is: 355.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.86 : 401.20 = 238.10 : x
  2. Step 2: Convert to fraction form
    268.86/401.20 = 238.10/x
  3. Step 3: Cross multiply
    268.86x = 401.20 × 238.10
  4. Step 4: Simplify right side
    268.86x = 95,525.72
  5. Step 5: Solve for x
    x = 95,525.72/268.86
  6. Step 6: Final answer
    x = 355.30

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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.