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Finding the Fourth Proportional to 164.16, 226.56 and 97.79

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Solution

The fourth proportional to 164.16, 226.56 and 97.79 is: 134.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.16 : 226.56 = 97.79 : x
  2. Step 2: Convert to fraction form
    164.16/226.56 = 97.79/x
  3. Step 3: Cross multiply
    164.16x = 226.56 × 97.79
  4. Step 4: Simplify right side
    164.16x = 22,154.17
  5. Step 5: Solve for x
    x = 22,154.17/164.16
  6. Step 6: Final answer
    x = 134.95

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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.