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Finding the Fourth Proportional to 285.70, 428.66 and 103.14

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Solution

The fourth proportional to 285.70, 428.66 and 103.14 is: 154.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.70 : 428.66 = 103.14 : x
  2. Step 2: Convert to fraction form
    285.70/428.66 = 103.14/x
  3. Step 3: Cross multiply
    285.70x = 428.66 × 103.14
  4. Step 4: Simplify right side
    285.70x = 44,211.99
  5. Step 5: Solve for x
    x = 44,211.99/285.70
  6. Step 6: Final answer
    x = 154.75

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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.