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Finding the Fourth Proportional to 216.61, 325.04 and 113.97

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Solution

The fourth proportional to 216.61, 325.04 and 113.97 is: 171.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.61 : 325.04 = 113.97 : x
  2. Step 2: Convert to fraction form
    216.61/325.04 = 113.97/x
  3. Step 3: Cross multiply
    216.61x = 325.04 × 113.97
  4. Step 4: Simplify right side
    216.61x = 37,043.18
  5. Step 5: Solve for x
    x = 37,043.18/216.61
  6. Step 6: Final answer
    x = 171.02

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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.