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Finding the Fourth Proportional to 216.40, 296.62 and 213.60

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Solution

The fourth proportional to 216.40, 296.62 and 213.60 is: 292.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.40 : 296.62 = 213.60 : x
  2. Step 2: Convert to fraction form
    216.40/296.62 = 213.60/x
  3. Step 3: Cross multiply
    216.40x = 296.62 × 213.60
  4. Step 4: Simplify right side
    216.40x = 63,358.03
  5. Step 5: Solve for x
    x = 63,358.03/216.40
  6. Step 6: Final answer
    x = 292.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.