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Finding the Fourth Proportional to 301.26, 416.08 and 297.22

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Solution

The fourth proportional to 301.26, 416.08 and 297.22 is: 410.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.26 : 416.08 = 297.22 : x
  2. Step 2: Convert to fraction form
    301.26/416.08 = 297.22/x
  3. Step 3: Cross multiply
    301.26x = 416.08 × 297.22
  4. Step 4: Simplify right side
    301.26x = 123,667.30
  5. Step 5: Solve for x
    x = 123,667.30/301.26
  6. Step 6: Final answer
    x = 410.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.