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Finding the Fourth Proportional to 307.94, 421.27 and 306.72

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Solution

The fourth proportional to 307.94, 421.27 and 306.72 is: 419.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.94 : 421.27 = 306.72 : x
  2. Step 2: Convert to fraction form
    307.94/421.27 = 306.72/x
  3. Step 3: Cross multiply
    307.94x = 421.27 × 306.72
  4. Step 4: Simplify right side
    307.94x = 129,211.17
  5. Step 5: Solve for x
    x = 129,211.17/307.94
  6. Step 6: Final answer
    x = 419.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.