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Finding the Fourth Proportional to 307.53, 424.13 and 209.43

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Solution

The fourth proportional to 307.53, 424.13 and 209.43 is: 288.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.53 : 424.13 = 209.43 : x
  2. Step 2: Convert to fraction form
    307.53/424.13 = 209.43/x
  3. Step 3: Cross multiply
    307.53x = 424.13 × 209.43
  4. Step 4: Simplify right side
    307.53x = 88,824.50
  5. Step 5: Solve for x
    x = 88,824.50/307.53
  6. Step 6: Final answer
    x = 288.83

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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.