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Finding the Fourth Proportional to 294.64, 404.84 and 275.68

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Solution

The fourth proportional to 294.64, 404.84 and 275.68 is: 378.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.64 : 404.84 = 275.68 : x
  2. Step 2: Convert to fraction form
    294.64/404.84 = 275.68/x
  3. Step 3: Cross multiply
    294.64x = 404.84 × 275.68
  4. Step 4: Simplify right side
    294.64x = 111,606.29
  5. Step 5: Solve for x
    x = 111,606.29/294.64
  6. Step 6: Final answer
    x = 378.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.