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Finding the Fourth Proportional to 215.86, 297.45 and 160.54

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Solution

The fourth proportional to 215.86, 297.45 and 160.54 is: 221.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.86 : 297.45 = 160.54 : x
  2. Step 2: Convert to fraction form
    215.86/297.45 = 160.54/x
  3. Step 3: Cross multiply
    215.86x = 297.45 × 160.54
  4. Step 4: Simplify right side
    215.86x = 47,752.62
  5. Step 5: Solve for x
    x = 47,752.62/215.86
  6. Step 6: Final answer
    x = 221.22

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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.