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Finding the Fourth Proportional to 285.11, 429.71 and 285.11

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Solution

The fourth proportional to 285.11, 429.71 and 285.11 is: 429.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.11 : 429.71 = 285.11 : x
  2. Step 2: Convert to fraction form
    285.11/429.71 = 285.11/x
  3. Step 3: Cross multiply
    285.11x = 429.71 × 285.11
  4. Step 4: Simplify right side
    285.11x = 122,511.04
  5. Step 5: Solve for x
    x = 122,511.04/285.11
  6. Step 6: Final answer
    x = 429.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.