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Finding the Fourth Proportional to 294.94, 406.68 and 248.24

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Solution

The fourth proportional to 294.94, 406.68 and 248.24 is: 342.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.94 : 406.68 = 248.24 : x
  2. Step 2: Convert to fraction form
    294.94/406.68 = 248.24/x
  3. Step 3: Cross multiply
    294.94x = 406.68 × 248.24
  4. Step 4: Simplify right side
    294.94x = 100,954.93
  5. Step 5: Solve for x
    x = 100,954.93/294.94
  6. Step 6: Final answer
    x = 342.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.