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Finding the Fourth Proportional to 301.26, 412.98 and 295.74

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Solution

The fourth proportional to 301.26, 412.98 and 295.74 is: 405.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.26 : 412.98 = 295.74 : x
  2. Step 2: Convert to fraction form
    301.26/412.98 = 295.74/x
  3. Step 3: Cross multiply
    301.26x = 412.98 × 295.74
  4. Step 4: Simplify right side
    301.26x = 122,134.71
  5. Step 5: Solve for x
    x = 122,134.71/301.26
  6. Step 6: Final answer
    x = 405.41

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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.