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Finding the Fourth Proportional to 164.27, 245.90 and 115.47

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Solution

The fourth proportional to 164.27, 245.90 and 115.47 is: 172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.27 : 245.90 = 115.47 : x
  2. Step 2: Convert to fraction form
    164.27/245.90 = 115.47/x
  3. Step 3: Cross multiply
    164.27x = 245.90 × 115.47
  4. Step 4: Simplify right side
    164.27x = 28,394.36
  5. Step 5: Solve for x
    x = 28,394.36/164.27
  6. Step 6: Final answer
    x = 172.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.