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Finding the Fourth Proportional to 634.41, 951.61 and 172.19

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Solution

The fourth proportional to 634.41, 951.61 and 172.19 is: 258.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.41 : 951.61 = 172.19 : x
  2. Step 2: Convert to fraction form
    634.41/951.61 = 172.19/x
  3. Step 3: Cross multiply
    634.41x = 951.61 × 172.19
  4. Step 4: Simplify right side
    634.41x = 163,854.37
  5. Step 5: Solve for x
    x = 163,854.37/634.41
  6. Step 6: Final answer
    x = 258.28

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Similar ratio
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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.