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Finding the Fourth Proportional to 238.83, 328.08 and 209.67

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Solution

The fourth proportional to 238.83, 328.08 and 209.67 is: 288.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.83 : 328.08 = 209.67 : x
  2. Step 2: Convert to fraction form
    238.83/328.08 = 209.67/x
  3. Step 3: Cross multiply
    238.83x = 328.08 × 209.67
  4. Step 4: Simplify right side
    238.83x = 68,788.53
  5. Step 5: Solve for x
    x = 68,788.53/238.83
  6. Step 6: Final answer
    x = 288.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.