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Finding the Fourth Proportional to 276.41, 416.62 and 264.06

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Solution

The fourth proportional to 276.41, 416.62 and 264.06 is: 398.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.41 : 416.62 = 264.06 : x
  2. Step 2: Convert to fraction form
    276.41/416.62 = 264.06/x
  3. Step 3: Cross multiply
    276.41x = 416.62 × 264.06
  4. Step 4: Simplify right side
    276.41x = 110,012.26
  5. Step 5: Solve for x
    x = 110,012.26/276.41
  6. Step 6: Final answer
    x = 398.00

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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.