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Finding the Fourth Proportional to 216.21, 325.48 and 186.45

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Solution

The fourth proportional to 216.21, 325.48 and 186.45 is: 280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.21 : 325.48 = 186.45 : x
  2. Step 2: Convert to fraction form
    216.21/325.48 = 186.45/x
  3. Step 3: Cross multiply
    216.21x = 325.48 × 186.45
  4. Step 4: Simplify right side
    216.21x = 60,685.75
  5. Step 5: Solve for x
    x = 60,685.75/216.21
  6. Step 6: Final answer
    x = 280.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.