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Finding the Fourth Proportional to 278.18, 415.62 and 268.61

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Solution

The fourth proportional to 278.18, 415.62 and 268.61 is: 401.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.18 : 415.62 = 268.61 : x
  2. Step 2: Convert to fraction form
    278.18/415.62 = 268.61/x
  3. Step 3: Cross multiply
    278.18x = 415.62 × 268.61
  4. Step 4: Simplify right side
    278.18x = 111,637.61
  5. Step 5: Solve for x
    x = 111,637.61/278.18
  6. Step 6: Final answer
    x = 401.32

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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.