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Finding the Fourth Proportional to 386.66, 580.20 and 170.23

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Solution

The fourth proportional to 386.66, 580.20 and 170.23 is: 255.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.66 : 580.20 = 170.23 : x
  2. Step 2: Convert to fraction form
    386.66/580.20 = 170.23/x
  3. Step 3: Cross multiply
    386.66x = 580.20 × 170.23
  4. Step 4: Simplify right side
    386.66x = 98,767.45
  5. Step 5: Solve for x
    x = 98,767.45/386.66
  6. Step 6: Final answer
    x = 255.44

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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.