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Finding the Fourth Proportional to 308.23, 460.25 and 249.80

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Solution

The fourth proportional to 308.23, 460.25 and 249.80 is: 373.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.23 : 460.25 = 249.80 : x
  2. Step 2: Convert to fraction form
    308.23/460.25 = 249.80/x
  3. Step 3: Cross multiply
    308.23x = 460.25 × 249.80
  4. Step 4: Simplify right side
    308.23x = 114,969.41
  5. Step 5: Solve for x
    x = 114,969.41/308.23
  6. Step 6: Final answer
    x = 373.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.