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Finding the Fourth Proportional to 308.50, 463.03 and 248.02

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Solution

The fourth proportional to 308.50, 463.03 and 248.02 is: 372.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.50 : 463.03 = 248.02 : x
  2. Step 2: Convert to fraction form
    308.50/463.03 = 248.02/x
  3. Step 3: Cross multiply
    308.50x = 463.03 × 248.02
  4. Step 4: Simplify right side
    308.50x = 114,838.92
  5. Step 5: Solve for x
    x = 114,838.92/308.50
  6. Step 6: Final answer
    x = 372.25

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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.