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Finding the Fourth Proportional to 294.83, 408.75 and 278.43

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Solution

The fourth proportional to 294.83, 408.75 and 278.43 is: 386.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.83 : 408.75 = 278.43 : x
  2. Step 2: Convert to fraction form
    294.83/408.75 = 278.43/x
  3. Step 3: Cross multiply
    294.83x = 408.75 × 278.43
  4. Step 4: Simplify right side
    294.83x = 113,808.26
  5. Step 5: Solve for x
    x = 113,808.26/294.83
  6. Step 6: Final answer
    x = 386.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.