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Finding the Fourth Proportional to 216.21, 324.01 and 209.64

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Solution

The fourth proportional to 216.21, 324.01 and 209.64 is: 314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.21 : 324.01 = 209.64 : x
  2. Step 2: Convert to fraction form
    216.21/324.01 = 209.64/x
  3. Step 3: Cross multiply
    216.21x = 324.01 × 209.64
  4. Step 4: Simplify right side
    216.21x = 67,925.46
  5. Step 5: Solve for x
    x = 67,925.46/216.21
  6. Step 6: Final answer
    x = 314.16

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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.