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Finding the Fourth Proportional to 278.22, 415.32 and 252.72

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Solution

The fourth proportional to 278.22, 415.32 and 252.72 is: 377.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.22 : 415.32 = 252.72 : x
  2. Step 2: Convert to fraction form
    278.22/415.32 = 252.72/x
  3. Step 3: Cross multiply
    278.22x = 415.32 × 252.72
  4. Step 4: Simplify right side
    278.22x = 104,959.67
  5. Step 5: Solve for x
    x = 104,959.67/278.22
  6. Step 6: Final answer
    x = 377.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.