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Finding the Fourth Proportional to 216.53, 322.01 and 209.69

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Solution

The fourth proportional to 216.53, 322.01 and 209.69 is: 311.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.53 : 322.01 = 209.69 : x
  2. Step 2: Convert to fraction form
    216.53/322.01 = 209.69/x
  3. Step 3: Cross multiply
    216.53x = 322.01 × 209.69
  4. Step 4: Simplify right side
    216.53x = 67,522.82
  5. Step 5: Solve for x
    x = 67,522.82/216.53
  6. Step 6: Final answer
    x = 311.84

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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.