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Finding the Fourth Proportional to 216.61, 325.53 and 180.27

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Solution

The fourth proportional to 216.61, 325.53 and 180.27 is: 270.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.61 : 325.53 = 180.27 : x
  2. Step 2: Convert to fraction form
    216.61/325.53 = 180.27/x
  3. Step 3: Cross multiply
    216.61x = 325.53 × 180.27
  4. Step 4: Simplify right side
    216.61x = 58,683.29
  5. Step 5: Solve for x
    x = 58,683.29/216.61
  6. Step 6: Final answer
    x = 270.92

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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.