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Finding the Fourth Proportional to 164.56, 225.80 and 158.08

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Solution

The fourth proportional to 164.56, 225.80 and 158.08 is: 216.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.56 : 225.80 = 158.08 : x
  2. Step 2: Convert to fraction form
    164.56/225.80 = 158.08/x
  3. Step 3: Cross multiply
    164.56x = 225.80 × 158.08
  4. Step 4: Simplify right side
    164.56x = 35,694.46
  5. Step 5: Solve for x
    x = 35,694.46/164.56
  6. Step 6: Final answer
    x = 216.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.