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Finding the Fourth Proportional to 285.35, 428.03 and 68.93

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Solution

The fourth proportional to 285.35, 428.03 and 68.93 is: 103.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.35 : 428.03 = 68.93 : x
  2. Step 2: Convert to fraction form
    285.35/428.03 = 68.93/x
  3. Step 3: Cross multiply
    285.35x = 428.03 × 68.93
  4. Step 4: Simplify right side
    285.35x = 29,503.94
  5. Step 5: Solve for x
    x = 29,503.94/285.35
  6. Step 6: Final answer
    x = 103.39

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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.