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Finding the Fourth Proportional to 301.26, 415.62 and 203.07

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Solution

The fourth proportional to 301.26, 415.62 and 203.07 is: 280.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.26 : 415.62 = 203.07 : x
  2. Step 2: Convert to fraction form
    301.26/415.62 = 203.07/x
  3. Step 3: Cross multiply
    301.26x = 415.62 × 203.07
  4. Step 4: Simplify right side
    301.26x = 84,399.95
  5. Step 5: Solve for x
    x = 84,399.95/301.26
  6. Step 6: Final answer
    x = 280.16

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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.