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Finding the Fourth Proportional to 293.84, 442.94 and 278.24

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Solution

The fourth proportional to 293.84, 442.94 and 278.24 is: 419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.84 : 442.94 = 278.24 : x
  2. Step 2: Convert to fraction form
    293.84/442.94 = 278.24/x
  3. Step 3: Cross multiply
    293.84x = 442.94 × 278.24
  4. Step 4: Simplify right side
    293.84x = 123,243.63
  5. Step 5: Solve for x
    x = 123,243.63/293.84
  6. Step 6: Final answer
    x = 419.42

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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.