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Finding the Fourth Proportional to 306.64, 423.07 and 223.78

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Solution

The fourth proportional to 306.64, 423.07 and 223.78 is: 308.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.64 : 423.07 = 223.78 : x
  2. Step 2: Convert to fraction form
    306.64/423.07 = 223.78/x
  3. Step 3: Cross multiply
    306.64x = 423.07 × 223.78
  4. Step 4: Simplify right side
    306.64x = 94,674.60
  5. Step 5: Solve for x
    x = 94,674.60/306.64
  6. Step 6: Final answer
    x = 308.75

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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.