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Finding the Fourth Proportional to 401.26, 598.49 and 378.82

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Solution

The fourth proportional to 401.26, 598.49 and 378.82 is: 565.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.26 : 598.49 = 378.82 : x
  2. Step 2: Convert to fraction form
    401.26/598.49 = 378.82/x
  3. Step 3: Cross multiply
    401.26x = 598.49 × 378.82
  4. Step 4: Simplify right side
    401.26x = 226,719.98
  5. Step 5: Solve for x
    x = 226,719.98/401.26
  6. Step 6: Final answer
    x = 565.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.