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Finding the Fourth Proportional to 278.26, 416.76 and 262.10

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Solution

The fourth proportional to 278.26, 416.76 and 262.10 is: 392.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.26 : 416.76 = 262.10 : x
  2. Step 2: Convert to fraction form
    278.26/416.76 = 262.10/x
  3. Step 3: Cross multiply
    278.26x = 416.76 × 262.10
  4. Step 4: Simplify right side
    278.26x = 109,232.80
  5. Step 5: Solve for x
    x = 109,232.80/278.26
  6. Step 6: Final answer
    x = 392.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.