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Finding the Fourth Proportional to 278.87, 416.21 and 271.58

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Solution

The fourth proportional to 278.87, 416.21 and 271.58 is: 405.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.87 : 416.21 = 271.58 : x
  2. Step 2: Convert to fraction form
    278.87/416.21 = 271.58/x
  3. Step 3: Cross multiply
    278.87x = 416.21 × 271.58
  4. Step 4: Simplify right side
    278.87x = 113,030.87
  5. Step 5: Solve for x
    x = 113,030.87/278.87
  6. Step 6: Final answer
    x = 405.32

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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.