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Finding the Fourth Proportional to 238.26, 355.65 and 210.90

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Solution

The fourth proportional to 238.26, 355.65 and 210.90 is: 314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.26 : 355.65 = 210.90 : x
  2. Step 2: Convert to fraction form
    238.26/355.65 = 210.90/x
  3. Step 3: Cross multiply
    238.26x = 355.65 × 210.90
  4. Step 4: Simplify right side
    238.26x = 75,006.59
  5. Step 5: Solve for x
    x = 75,006.59/238.26
  6. Step 6: Final answer
    x = 314.81

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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.