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Finding the Fourth Proportional to 209, 288.15 and 176.18

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Solution

The fourth proportional to 209, 288.15 and 176.18 is: 242.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209 : 288.15 = 176.18 : x
  2. Step 2: Convert to fraction form
    209/288.15 = 176.18/x
  3. Step 3: Cross multiply
    209x = 288.15 × 176.18
  4. Step 4: Simplify right side
    209x = 50,766.27
  5. Step 5: Solve for x
    x = 50,766.27/209
  6. Step 6: Final answer
    x = 242.90

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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.