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Finding the Fourth Proportional to 285.80, 422.72 and 285.80

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Solution

The fourth proportional to 285.80, 422.72 and 285.80 is: 422.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.80 : 422.72 = 285.80 : x
  2. Step 2: Convert to fraction form
    285.80/422.72 = 285.80/x
  3. Step 3: Cross multiply
    285.80x = 422.72 × 285.80
  4. Step 4: Simplify right side
    285.80x = 120,813.38
  5. Step 5: Solve for x
    x = 120,813.38/285.80
  6. Step 6: Final answer
    x = 422.72

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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.