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Finding the Fourth Proportional to 308.63, 463.03 and 130.62

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Solution

The fourth proportional to 308.63, 463.03 and 130.62 is: 195.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.63 : 463.03 = 130.62 : x
  2. Step 2: Convert to fraction form
    308.63/463.03 = 130.62/x
  3. Step 3: Cross multiply
    308.63x = 463.03 × 130.62
  4. Step 4: Simplify right side
    308.63x = 60,480.15
  5. Step 5: Solve for x
    x = 60,480.15/308.63
  6. Step 6: Final answer
    x = 195.96

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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.