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Finding the Fourth Proportional to 285.71, 422.73 and 284.90

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Solution

The fourth proportional to 285.71, 422.73 and 284.90 is: 421.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.71 : 422.73 = 284.90 : x
  2. Step 2: Convert to fraction form
    285.71/422.73 = 284.90/x
  3. Step 3: Cross multiply
    285.71x = 422.73 × 284.90
  4. Step 4: Simplify right side
    285.71x = 120,433.66
  5. Step 5: Solve for x
    x = 120,433.66/285.71
  6. Step 6: Final answer
    x = 421.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.