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Finding the Fourth Proportional to 215.27, 297.17 and 162.83

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Solution

The fourth proportional to 215.27, 297.17 and 162.83 is: 224.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.27 : 297.17 = 162.83 : x
  2. Step 2: Convert to fraction form
    215.27/297.17 = 162.83/x
  3. Step 3: Cross multiply
    215.27x = 297.17 × 162.83
  4. Step 4: Simplify right side
    215.27x = 48,387.11
  5. Step 5: Solve for x
    x = 48,387.11/215.27
  6. Step 6: Final answer
    x = 224.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.