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Finding the Fourth Proportional to 164.64, 227.12 and 135.76

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Solution

The fourth proportional to 164.64, 227.12 and 135.76 is: 187.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.64 : 227.12 = 135.76 : x
  2. Step 2: Convert to fraction form
    164.64/227.12 = 135.76/x
  3. Step 3: Cross multiply
    164.64x = 227.12 × 135.76
  4. Step 4: Simplify right side
    164.64x = 30,833.81
  5. Step 5: Solve for x
    x = 30,833.81/164.64
  6. Step 6: Final answer
    x = 187.28

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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.