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Finding the Fourth Proportional to 285.34, 427.38 and 140.76

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Solution

The fourth proportional to 285.34, 427.38 and 140.76 is: 210.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.34 : 427.38 = 140.76 : x
  2. Step 2: Convert to fraction form
    285.34/427.38 = 140.76/x
  3. Step 3: Cross multiply
    285.34x = 427.38 × 140.76
  4. Step 4: Simplify right side
    285.34x = 60,158.01
  5. Step 5: Solve for x
    x = 60,158.01/285.34
  6. Step 6: Final answer
    x = 210.83

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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.