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Finding the Fourth Proportional to 278.02, 419.14 and 263.14

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Solution

The fourth proportional to 278.02, 419.14 and 263.14 is: 396.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.02 : 419.14 = 263.14 : x
  2. Step 2: Convert to fraction form
    278.02/419.14 = 263.14/x
  3. Step 3: Cross multiply
    278.02x = 419.14 × 263.14
  4. Step 4: Simplify right side
    278.02x = 110,292.50
  5. Step 5: Solve for x
    x = 110,292.50/278.02
  6. Step 6: Final answer
    x = 396.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.