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Finding the Fourth Proportional to 288.06, 397.24 and 238.11

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Solution

The fourth proportional to 288.06, 397.24 and 238.11 is: 328.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.06 : 397.24 = 238.11 : x
  2. Step 2: Convert to fraction form
    288.06/397.24 = 238.11/x
  3. Step 3: Cross multiply
    288.06x = 397.24 × 238.11
  4. Step 4: Simplify right side
    288.06x = 94,584.73
  5. Step 5: Solve for x
    x = 94,584.73/288.06
  6. Step 6: Final answer
    x = 328.36

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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.