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Finding the Fourth Proportional to 215.55, 297.69 and 162.29

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Solution

The fourth proportional to 215.55, 297.69 and 162.29 is: 224.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.55 : 297.69 = 162.29 : x
  2. Step 2: Convert to fraction form
    215.55/297.69 = 162.29/x
  3. Step 3: Cross multiply
    215.55x = 297.69 × 162.29
  4. Step 4: Simplify right side
    215.55x = 48,310.62
  5. Step 5: Solve for x
    x = 48,310.62/215.55
  6. Step 6: Final answer
    x = 224.13

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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.