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Finding the Fourth Proportional to 494.65, 741.49 and 278.06

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Solution

The fourth proportional to 494.65, 741.49 and 278.06 is: 416.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.65 : 741.49 = 278.06 : x
  2. Step 2: Convert to fraction form
    494.65/741.49 = 278.06/x
  3. Step 3: Cross multiply
    494.65x = 741.49 × 278.06
  4. Step 4: Simplify right side
    494.65x = 206,179.87
  5. Step 5: Solve for x
    x = 206,179.87/494.65
  6. Step 6: Final answer
    x = 416.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.