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Finding the Fourth Proportional to 308.23, 462.38 and 303.14

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Solution

The fourth proportional to 308.23, 462.38 and 303.14 is: 454.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.23 : 462.38 = 303.14 : x
  2. Step 2: Convert to fraction form
    308.23/462.38 = 303.14/x
  3. Step 3: Cross multiply
    308.23x = 462.38 × 303.14
  4. Step 4: Simplify right side
    308.23x = 140,168.07
  5. Step 5: Solve for x
    x = 140,168.07/308.23
  6. Step 6: Final answer
    x = 454.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.