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Finding the Fourth Proportional to 307.75, 423.85 and 286.23

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Solution

The fourth proportional to 307.75, 423.85 and 286.23 is: 394.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.75 : 423.85 = 286.23 : x
  2. Step 2: Convert to fraction form
    307.75/423.85 = 286.23/x
  3. Step 3: Cross multiply
    307.75x = 423.85 × 286.23
  4. Step 4: Simplify right side
    307.75x = 121,318.59
  5. Step 5: Solve for x
    x = 121,318.59/307.75
  6. Step 6: Final answer
    x = 394.21

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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.