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Finding the Fourth Proportional to 424.56, 636.87 and 202.21

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Solution

The fourth proportional to 424.56, 636.87 and 202.21 is: 303.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.56 : 636.87 = 202.21 : x
  2. Step 2: Convert to fraction form
    424.56/636.87 = 202.21/x
  3. Step 3: Cross multiply
    424.56x = 636.87 × 202.21
  4. Step 4: Simplify right side
    424.56x = 128,781.48
  5. Step 5: Solve for x
    x = 128,781.48/424.56
  6. Step 6: Final answer
    x = 303.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.