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Finding the Fourth Proportional to 217.41, 324.80 and 174.18

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Solution

The fourth proportional to 217.41, 324.80 and 174.18 is: 260.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.41 : 324.80 = 174.18 : x
  2. Step 2: Convert to fraction form
    217.41/324.80 = 174.18/x
  3. Step 3: Cross multiply
    217.41x = 324.80 × 174.18
  4. Step 4: Simplify right side
    217.41x = 56,572.79
  5. Step 5: Solve for x
    x = 56,572.79/217.41
  6. Step 6: Final answer
    x = 260.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.