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Finding the Fourth Proportional to 216.15, 296.22 and 195.40

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Solution

The fourth proportional to 216.15, 296.22 and 195.40 is: 267.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.15 : 296.22 = 195.40 : x
  2. Step 2: Convert to fraction form
    216.15/296.22 = 195.40/x
  3. Step 3: Cross multiply
    216.15x = 296.22 × 195.40
  4. Step 4: Simplify right side
    216.15x = 57,879.18
  5. Step 5: Solve for x
    x = 57,879.18/216.15
  6. Step 6: Final answer
    x = 267.77

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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.