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Finding the Fourth Proportional to 202.07, 301.47 and 171.29

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Solution

The fourth proportional to 202.07, 301.47 and 171.29 is: 255.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.07 : 301.47 = 171.29 : x
  2. Step 2: Convert to fraction form
    202.07/301.47 = 171.29/x
  3. Step 3: Cross multiply
    202.07x = 301.47 × 171.29
  4. Step 4: Simplify right side
    202.07x = 51,638.80
  5. Step 5: Solve for x
    x = 51,638.80/202.07
  6. Step 6: Final answer
    x = 255.55

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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.