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Finding the Fourth Proportional to 285.07, 427.61 and 140.89

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Solution

The fourth proportional to 285.07, 427.61 and 140.89 is: 211.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.07 : 427.61 = 140.89 : x
  2. Step 2: Convert to fraction form
    285.07/427.61 = 140.89/x
  3. Step 3: Cross multiply
    285.07x = 427.61 × 140.89
  4. Step 4: Simplify right side
    285.07x = 60,245.97
  5. Step 5: Solve for x
    x = 60,245.97/285.07
  6. Step 6: Final answer
    x = 211.34

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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.