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Finding the Fourth Proportional to 292.18, 403.20 and 166.15

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Solution

The fourth proportional to 292.18, 403.20 and 166.15 is: 229.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.18 : 403.20 = 166.15 : x
  2. Step 2: Convert to fraction form
    292.18/403.20 = 166.15/x
  3. Step 3: Cross multiply
    292.18x = 403.20 × 166.15
  4. Step 4: Simplify right side
    292.18x = 66,992.65
  5. Step 5: Solve for x
    x = 66,992.65/292.18
  6. Step 6: Final answer
    x = 229.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.