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Finding the Fourth Proportional to 217.25, 325.42 and 101.80

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Solution

The fourth proportional to 217.25, 325.42 and 101.80 is: 152.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.25 : 325.42 = 101.80 : x
  2. Step 2: Convert to fraction form
    217.25/325.42 = 101.80/x
  3. Step 3: Cross multiply
    217.25x = 325.42 × 101.80
  4. Step 4: Simplify right side
    217.25x = 33,127.76
  5. Step 5: Solve for x
    x = 33,127.76/217.25
  6. Step 6: Final answer
    x = 152.49

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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.