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Finding the Fourth Proportional to 278.06, 416.16 and 268.34

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Solution

The fourth proportional to 278.06, 416.16 and 268.34 is: 401.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.06 : 416.16 = 268.34 : x
  2. Step 2: Convert to fraction form
    278.06/416.16 = 268.34/x
  3. Step 3: Cross multiply
    278.06x = 416.16 × 268.34
  4. Step 4: Simplify right side
    278.06x = 111,670.29
  5. Step 5: Solve for x
    x = 111,670.29/278.06
  6. Step 6: Final answer
    x = 401.61

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Why These Related Problems?

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