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Finding the Fourth Proportional to 306.80, 423.13 and 207.22

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Solution

The fourth proportional to 306.80, 423.13 and 207.22 is: 285.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.80 : 423.13 = 207.22 : x
  2. Step 2: Convert to fraction form
    306.80/423.13 = 207.22/x
  3. Step 3: Cross multiply
    306.80x = 423.13 × 207.22
  4. Step 4: Simplify right side
    306.80x = 87,681.00
  5. Step 5: Solve for x
    x = 87,681.00/306.80
  6. Step 6: Final answer
    x = 285.79

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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.