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Finding the Fourth Proportional to 215.16, 323.64 and 195.24

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Solution

The fourth proportional to 215.16, 323.64 and 195.24 is: 293.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.16 : 323.64 = 195.24 : x
  2. Step 2: Convert to fraction form
    215.16/323.64 = 195.24/x
  3. Step 3: Cross multiply
    215.16x = 323.64 × 195.24
  4. Step 4: Simplify right side
    215.16x = 63,187.47
  5. Step 5: Solve for x
    x = 63,187.47/215.16
  6. Step 6: Final answer
    x = 293.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.