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Finding the Fourth Proportional to 238.55, 355.75 and 209.79

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Solution

The fourth proportional to 238.55, 355.75 and 209.79 is: 312.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.55 : 355.75 = 209.79 : x
  2. Step 2: Convert to fraction form
    238.55/355.75 = 209.79/x
  3. Step 3: Cross multiply
    238.55x = 355.75 × 209.79
  4. Step 4: Simplify right side
    238.55x = 74,632.27
  5. Step 5: Solve for x
    x = 74,632.27/238.55
  6. Step 6: Final answer
    x = 312.86

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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.