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Finding the Fourth Proportional to 285.41, 428.17 and 202.69

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Solution

The fourth proportional to 285.41, 428.17 and 202.69 is: 304.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.41 : 428.17 = 202.69 : x
  2. Step 2: Convert to fraction form
    285.41/428.17 = 202.69/x
  3. Step 3: Cross multiply
    285.41x = 428.17 × 202.69
  4. Step 4: Simplify right side
    285.41x = 86,785.78
  5. Step 5: Solve for x
    x = 86,785.78/285.41
  6. Step 6: Final answer
    x = 304.07

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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.