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Finding the Fourth Proportional to 238.23, 355.64 and 209.61

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Solution

The fourth proportional to 238.23, 355.64 and 209.61 is: 312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.23 : 355.64 = 209.61 : x
  2. Step 2: Convert to fraction form
    238.23/355.64 = 209.61/x
  3. Step 3: Cross multiply
    238.23x = 355.64 × 209.61
  4. Step 4: Simplify right side
    238.23x = 74,544.65
  5. Step 5: Solve for x
    x = 74,544.65/238.23
  6. Step 6: Final answer
    x = 312.91

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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.