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Finding the Fourth Proportional to 164.13, 224.85 and 157.97

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Solution

The fourth proportional to 164.13, 224.85 and 157.97 is: 216.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.13 : 224.85 = 157.97 : x
  2. Step 2: Convert to fraction form
    164.13/224.85 = 157.97/x
  3. Step 3: Cross multiply
    164.13x = 224.85 × 157.97
  4. Step 4: Simplify right side
    164.13x = 35,520.71
  5. Step 5: Solve for x
    x = 35,520.71/164.13
  6. Step 6: Final answer
    x = 216.42

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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.