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Finding the Fourth Proportional to 306.88, 423.72 and 213.47

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Solution

The fourth proportional to 306.88, 423.72 and 213.47 is: 294.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.88 : 423.72 = 213.47 : x
  2. Step 2: Convert to fraction form
    306.88/423.72 = 213.47/x
  3. Step 3: Cross multiply
    306.88x = 423.72 × 213.47
  4. Step 4: Simplify right side
    306.88x = 90,451.51
  5. Step 5: Solve for x
    x = 90,451.51/306.88
  6. Step 6: Final answer
    x = 294.75

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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.