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Finding the Fourth Proportional to 400.26, 598.07 and 295.71

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Solution

The fourth proportional to 400.26, 598.07 and 295.71 is: 441.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.26 : 598.07 = 295.71 : x
  2. Step 2: Convert to fraction form
    400.26/598.07 = 295.71/x
  3. Step 3: Cross multiply
    400.26x = 598.07 × 295.71
  4. Step 4: Simplify right side
    400.26x = 176,853.80
  5. Step 5: Solve for x
    x = 176,853.80/400.26
  6. Step 6: Final answer
    x = 441.85

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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.