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Finding the Fourth Proportional to 245.76, 338.88 and 209.04

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Solution

The fourth proportional to 245.76, 338.88 and 209.04 is: 288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.76 : 338.88 = 209.04 : x
  2. Step 2: Convert to fraction form
    245.76/338.88 = 209.04/x
  3. Step 3: Cross multiply
    245.76x = 338.88 × 209.04
  4. Step 4: Simplify right side
    245.76x = 70,839.48
  5. Step 5: Solve for x
    x = 70,839.48/245.76
  6. Step 6: Final answer
    x = 288.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.