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Finding the Fourth Proportional to 308.07, 424.64 and 209.66

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Solution

The fourth proportional to 308.07, 424.64 and 209.66 is: 288.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.07 : 424.64 = 209.66 : x
  2. Step 2: Convert to fraction form
    308.07/424.64 = 209.66/x
  3. Step 3: Cross multiply
    308.07x = 424.64 × 209.66
  4. Step 4: Simplify right side
    308.07x = 89,028.42
  5. Step 5: Solve for x
    x = 89,028.42/308.07
  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.