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Finding the Fourth Proportional to 308.84, 463.24 and 162.51

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Solution

The fourth proportional to 308.84, 463.24 and 162.51 is: 243.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.84 : 463.24 = 162.51 : x
  2. Step 2: Convert to fraction form
    308.84/463.24 = 162.51/x
  3. Step 3: Cross multiply
    308.84x = 463.24 × 162.51
  4. Step 4: Simplify right side
    308.84x = 75,280.73
  5. Step 5: Solve for x
    x = 75,280.73/308.84
  6. Step 6: Final answer
    x = 243.75

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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.