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Finding the Fourth Proportional to 308.06, 424.64 and 209.65

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Solution

The fourth proportional to 308.06, 424.64 and 209.65 is: 288.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.06 : 424.64 = 209.65 : x
  2. Step 2: Convert to fraction form
    308.06/424.64 = 209.65/x
  3. Step 3: Cross multiply
    308.06x = 424.64 × 209.65
  4. Step 4: Simplify right side
    308.06x = 89,025.78
  5. Step 5: Solve for x
    x = 89,025.78/308.06
  6. Step 6: Final answer
    x = 288.99

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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.