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Finding the Fourth Proportional to 285, 427.58 and 92.63

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Solution

The fourth proportional to 285, 427.58 and 92.63 is: 138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    285 : 427.58 = 92.63 : x
  2. Step 2: Convert to fraction form
    285/427.58 = 92.63/x
  3. Step 3: Cross multiply
    285x = 427.58 × 92.63
  4. Step 4: Simplify right side
    285x = 39,604.13
  5. Step 5: Solve for x
    x = 39,604.13/285
  6. Step 6: Final answer
    x = 138.96

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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.