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Finding the Fourth Proportional to 306.27, 456.03 and 304.11

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Solution

The fourth proportional to 306.27, 456.03 and 304.11 is: 452.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.27 : 456.03 = 304.11 : x
  2. Step 2: Convert to fraction form
    306.27/456.03 = 304.11/x
  3. Step 3: Cross multiply
    306.27x = 456.03 × 304.11
  4. Step 4: Simplify right side
    306.27x = 138,683.28
  5. Step 5: Solve for x
    x = 138,683.28/306.27
  6. Step 6: Final answer
    x = 452.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.