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Finding the Fourth Proportional to 218.10, 324.74 and 216.90

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Solution

The fourth proportional to 218.10, 324.74 and 216.90 is: 322.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.10 : 324.74 = 216.90 : x
  2. Step 2: Convert to fraction form
    218.10/324.74 = 216.90/x
  3. Step 3: Cross multiply
    218.10x = 324.74 × 216.90
  4. Step 4: Simplify right side
    218.10x = 70,435.02
  5. Step 5: Solve for x
    x = 70,435.02/218.10
  6. Step 6: Final answer
    x = 322.95

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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.