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Finding the Fourth Proportional to 285.02, 427.52 and 68.60

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Solution

The fourth proportional to 285.02, 427.52 and 68.60 is: 102.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.02 : 427.52 = 68.60 : x
  2. Step 2: Convert to fraction form
    285.02/427.52 = 68.60/x
  3. Step 3: Cross multiply
    285.02x = 427.52 × 68.60
  4. Step 4: Simplify right side
    285.02x = 29,325.91
  5. Step 5: Solve for x
    x = 29,325.91/285.02
  6. Step 6: Final answer
    x = 102.89

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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.