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Finding the Fourth Proportional to 276.63, 416.82 and 247.16

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Solution

The fourth proportional to 276.63, 416.82 and 247.16 is: 372.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.63 : 416.82 = 247.16 : x
  2. Step 2: Convert to fraction form
    276.63/416.82 = 247.16/x
  3. Step 3: Cross multiply
    276.63x = 416.82 × 247.16
  4. Step 4: Simplify right side
    276.63x = 103,021.23
  5. Step 5: Solve for x
    x = 103,021.23/276.63
  6. Step 6: Final answer
    x = 372.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.