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Finding the Fourth Proportional to 306.88, 423.50 and 208.46

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Solution

The fourth proportional to 306.88, 423.50 and 208.46 is: 287.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.88 : 423.50 = 208.46 : x
  2. Step 2: Convert to fraction form
    306.88/423.50 = 208.46/x
  3. Step 3: Cross multiply
    306.88x = 423.50 × 208.46
  4. Step 4: Simplify right side
    306.88x = 88,282.83
  5. Step 5: Solve for x
    x = 88,282.83/306.88
  6. Step 6: Final answer
    x = 287.68

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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.