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Finding the Fourth Proportional to 308.01, 463.81 and 227.42

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Solution

The fourth proportional to 308.01, 463.81 and 227.42 is: 342.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.01 : 463.81 = 227.42 : x
  2. Step 2: Convert to fraction form
    308.01/463.81 = 227.42/x
  3. Step 3: Cross multiply
    308.01x = 463.81 × 227.42
  4. Step 4: Simplify right side
    308.01x = 105,477.35
  5. Step 5: Solve for x
    x = 105,477.35/308.01
  6. Step 6: Final answer
    x = 342.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.