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Finding the Fourth Proportional to 278, 419.13 and 263

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Solution

The fourth proportional to 278, 419.13 and 263 is: 396.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    278 : 419.13 = 263 : x
  2. Step 2: Convert to fraction form
    278/419.13 = 263/x
  3. Step 3: Cross multiply
    278x = 419.13 × 263
  4. Step 4: Simplify right side
    278x = 110,231.19
  5. Step 5: Solve for x
    x = 110,231.19/278
  6. Step 6: Final answer
    x = 396.52

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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.