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Finding the Fourth Proportional to 216.08, 296.50 and 212.24

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Solution

The fourth proportional to 216.08, 296.50 and 212.24 is: 291.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.08 : 296.50 = 212.24 : x
  2. Step 2: Convert to fraction form
    216.08/296.50 = 212.24/x
  3. Step 3: Cross multiply
    216.08x = 296.50 × 212.24
  4. Step 4: Simplify right side
    216.08x = 62,929.16
  5. Step 5: Solve for x
    x = 62,929.16/216.08
  6. Step 6: Final answer
    x = 291.23

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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.