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Finding the Fourth Proportional to 164.20, 227.76 and 160.15

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Solution

The fourth proportional to 164.20, 227.76 and 160.15 is: 222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.20 : 227.76 = 160.15 : x
  2. Step 2: Convert to fraction form
    164.20/227.76 = 160.15/x
  3. Step 3: Cross multiply
    164.20x = 227.76 × 160.15
  4. Step 4: Simplify right side
    164.20x = 36,473.82
  5. Step 5: Solve for x
    x = 36,473.82/164.20
  6. Step 6: Final answer
    x = 222.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.