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Finding the Fourth Proportional to 308.50, 462 and 303.46

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Solution

The fourth proportional to 308.50, 462 and 303.46 is: 454.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.50 : 462 = 303.46 : x
  2. Step 2: Convert to fraction form
    308.50/462 = 303.46/x
  3. Step 3: Cross multiply
    308.50x = 462 × 303.46
  4. Step 4: Simplify right side
    308.50x = 140,198.52
  5. Step 5: Solve for x
    x = 140,198.52/308.50
  6. Step 6: Final answer
    x = 454.45

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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.