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Finding the Fourth Proportional to 279.42, 416.96 and 248.74

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Solution

The fourth proportional to 279.42, 416.96 and 248.74 is: 371.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.42 : 416.96 = 248.74 : x
  2. Step 2: Convert to fraction form
    279.42/416.96 = 248.74/x
  3. Step 3: Cross multiply
    279.42x = 416.96 × 248.74
  4. Step 4: Simplify right side
    279.42x = 103,714.68
  5. Step 5: Solve for x
    x = 103,714.68/279.42
  6. Step 6: Final answer
    x = 371.18

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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.