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Finding the Fourth Proportional to 294.25, 407.04 and 274.31

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Solution

The fourth proportional to 294.25, 407.04 and 274.31 is: 379.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.25 : 407.04 = 274.31 : x
  2. Step 2: Convert to fraction form
    294.25/407.04 = 274.31/x
  3. Step 3: Cross multiply
    294.25x = 407.04 × 274.31
  4. Step 4: Simplify right side
    294.25x = 111,652.84
  5. Step 5: Solve for x
    x = 111,652.84/294.25
  6. Step 6: Final answer
    x = 379.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.