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Finding the Fourth Proportional to 386.57, 579.85 and 112.66

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Solution

The fourth proportional to 386.57, 579.85 and 112.66 is: 168.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.57 : 579.85 = 112.66 : x
  2. Step 2: Convert to fraction form
    386.57/579.85 = 112.66/x
  3. Step 3: Cross multiply
    386.57x = 579.85 × 112.66
  4. Step 4: Simplify right side
    386.57x = 65,325.90
  5. Step 5: Solve for x
    x = 65,325.90/386.57
  6. Step 6: Final answer
    x = 168.99

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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.