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Finding the Fourth Proportional to 307.84, 423.08 and 299.20

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Solution

The fourth proportional to 307.84, 423.08 and 299.20 is: 411.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.84 : 423.08 = 299.20 : x
  2. Step 2: Convert to fraction form
    307.84/423.08 = 299.20/x
  3. Step 3: Cross multiply
    307.84x = 423.08 × 299.20
  4. Step 4: Simplify right side
    307.84x = 126,585.54
  5. Step 5: Solve for x
    x = 126,585.54/307.84
  6. Step 6: Final answer
    x = 411.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.