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Finding the Fourth Proportional to 309.94, 463.20 and 248.78

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Solution

The fourth proportional to 309.94, 463.20 and 248.78 is: 371.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.94 : 463.20 = 248.78 : x
  2. Step 2: Convert to fraction form
    309.94/463.20 = 248.78/x
  3. Step 3: Cross multiply
    309.94x = 463.20 × 248.78
  4. Step 4: Simplify right side
    309.94x = 115,235.12
  5. Step 5: Solve for x
    x = 115,235.12/309.94
  6. Step 6: Final answer
    x = 371.80

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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.