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Finding the Fourth Proportional to 297.81, 409.68 and 248.40

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Solution

The fourth proportional to 297.81, 409.68 and 248.40 is: 341.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.81 : 409.68 = 248.40 : x
  2. Step 2: Convert to fraction form
    297.81/409.68 = 248.40/x
  3. Step 3: Cross multiply
    297.81x = 409.68 × 248.40
  4. Step 4: Simplify right side
    297.81x = 101,764.51
  5. Step 5: Solve for x
    x = 101,764.51/297.81
  6. Step 6: Final answer
    x = 341.71

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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.