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Finding the Fourth Proportional to 164.48, 246.72 and 126.03

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Solution

The fourth proportional to 164.48, 246.72 and 126.03 is: 189.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.48 : 246.72 = 126.03 : x
  2. Step 2: Convert to fraction form
    164.48/246.72 = 126.03/x
  3. Step 3: Cross multiply
    164.48x = 246.72 × 126.03
  4. Step 4: Simplify right side
    164.48x = 31,094.44
  5. Step 5: Solve for x
    x = 31,094.44/164.48
  6. Step 6: Final answer
    x = 189.05

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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.