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Finding the Fourth Proportional to 216.25, 296.37 and 212.20

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Solution

The fourth proportional to 216.25, 296.37 and 212.20 is: 290.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.25 : 296.37 = 212.20 : x
  2. Step 2: Convert to fraction form
    216.25/296.37 = 212.20/x
  3. Step 3: Cross multiply
    216.25x = 296.37 × 212.20
  4. Step 4: Simplify right side
    216.25x = 62,889.71
  5. Step 5: Solve for x
    x = 62,889.71/216.25
  6. Step 6: Final answer
    x = 290.82

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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.