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Finding the Fourth Proportional to 308.68, 463.38 and 164.68

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Solution

The fourth proportional to 308.68, 463.38 and 164.68 is: 247.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.68 : 463.38 = 164.68 : x
  2. Step 2: Convert to fraction form
    308.68/463.38 = 164.68/x
  3. Step 3: Cross multiply
    308.68x = 463.38 × 164.68
  4. Step 4: Simplify right side
    308.68x = 76,309.42
  5. Step 5: Solve for x
    x = 76,309.42/308.68
  6. Step 6: Final answer
    x = 247.21

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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.