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Finding the Fourth Proportional to 308.09, 460.03 and 306.29

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Solution

The fourth proportional to 308.09, 460.03 and 306.29 is: 457.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.09 : 460.03 = 306.29 : x
  2. Step 2: Convert to fraction form
    308.09/460.03 = 306.29/x
  3. Step 3: Cross multiply
    308.09x = 460.03 × 306.29
  4. Step 4: Simplify right side
    308.09x = 140,901.06
  5. Step 5: Solve for x
    x = 140,901.06/308.09
  6. Step 6: Final answer
    x = 457.34

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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.