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Finding the Fourth Proportional to 164.31, 226.60 and 127.45

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Solution

The fourth proportional to 164.31, 226.60 and 127.45 is: 175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.31 : 226.60 = 127.45 : x
  2. Step 2: Convert to fraction form
    164.31/226.60 = 127.45/x
  3. Step 3: Cross multiply
    164.31x = 226.60 × 127.45
  4. Step 4: Simplify right side
    164.31x = 28,880.17
  5. Step 5: Solve for x
    x = 28,880.17/164.31
  6. Step 6: Final answer
    x = 175.77

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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.