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Finding the Fourth Proportional to 285.42, 428.14 and 102.75

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Solution

The fourth proportional to 285.42, 428.14 and 102.75 is: 154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.42 : 428.14 = 102.75 : x
  2. Step 2: Convert to fraction form
    285.42/428.14 = 102.75/x
  3. Step 3: Cross multiply
    285.42x = 428.14 × 102.75
  4. Step 4: Simplify right side
    285.42x = 43,991.74
  5. Step 5: Solve for x
    x = 43,991.74/285.42
  6. Step 6: Final answer
    x = 154.13

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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.