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Finding the Fourth Proportional to 307.67, 425.00 and 285.80

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Solution

The fourth proportional to 307.67, 425.00 and 285.80 is: 394.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.67 : 425.00 = 285.80 : x
  2. Step 2: Convert to fraction form
    307.67/425.00 = 285.80/x
  3. Step 3: Cross multiply
    307.67x = 425.00 × 285.80
  4. Step 4: Simplify right side
    307.67x = 121,466.78
  5. Step 5: Solve for x
    x = 121,466.78/307.67
  6. Step 6: Final answer
    x = 394.79

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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.