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Finding the Fourth Proportional to 215.55, 297.50 and 160.56

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Solution

The fourth proportional to 215.55, 297.50 and 160.56 is: 221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.55 : 297.50 = 160.56 : x
  2. Step 2: Convert to fraction form
    215.55/297.50 = 160.56/x
  3. Step 3: Cross multiply
    215.55x = 297.50 × 160.56
  4. Step 4: Simplify right side
    215.55x = 47,765.80
  5. Step 5: Solve for x
    x = 47,765.80/215.55
  6. Step 6: Final answer
    x = 221.60

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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.