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Finding the Fourth Proportional to 386.20, 578.88 and 166.94

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Solution

The fourth proportional to 386.20, 578.88 and 166.94 is: 250.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.20 : 578.88 = 166.94 : x
  2. Step 2: Convert to fraction form
    386.20/578.88 = 166.94/x
  3. Step 3: Cross multiply
    386.20x = 578.88 × 166.94
  4. Step 4: Simplify right side
    386.20x = 96,638.23
  5. Step 5: Solve for x
    x = 96,638.23/386.20
  6. Step 6: Final answer
    x = 250.23

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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.