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Finding the Fourth Proportional to 209.63, 288.78 and 176.36

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Solution

The fourth proportional to 209.63, 288.78 and 176.36 is: 242.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.63 : 288.78 = 176.36 : x
  2. Step 2: Convert to fraction form
    209.63/288.78 = 176.36/x
  3. Step 3: Cross multiply
    209.63x = 288.78 × 176.36
  4. Step 4: Simplify right side
    209.63x = 50,927.80
  5. Step 5: Solve for x
    x = 50,927.80/209.63
  6. Step 6: Final answer
    x = 242.95

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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.