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Finding the Fourth Proportional to 278.29, 378.73 and 277.12

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Solution

The fourth proportional to 278.29, 378.73 and 277.12 is: 377.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.29 : 378.73 = 277.12 : x
  2. Step 2: Convert to fraction form
    278.29/378.73 = 277.12/x
  3. Step 3: Cross multiply
    278.29x = 378.73 × 277.12
  4. Step 4: Simplify right side
    278.29x = 104,953.66
  5. Step 5: Solve for x
    x = 104,953.66/278.29
  6. Step 6: Final answer
    x = 377.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.