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Finding the Fourth Proportional to 238.87, 356.59 and 208.11

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Solution

The fourth proportional to 238.87, 356.59 and 208.11 is: 310.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.87 : 356.59 = 208.11 : x
  2. Step 2: Convert to fraction form
    238.87/356.59 = 208.11/x
  3. Step 3: Cross multiply
    238.87x = 356.59 × 208.11
  4. Step 4: Simplify right side
    238.87x = 74,209.94
  5. Step 5: Solve for x
    x = 74,209.94/238.87
  6. Step 6: Final answer
    x = 310.67

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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.