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Finding the Fourth Proportional to 164.01, 247.34 and 161.18

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Solution

The fourth proportional to 164.01, 247.34 and 161.18 is: 243.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.01 : 247.34 = 161.18 : x
  2. Step 2: Convert to fraction form
    164.01/247.34 = 161.18/x
  3. Step 3: Cross multiply
    164.01x = 247.34 × 161.18
  4. Step 4: Simplify right side
    164.01x = 39,866.26
  5. Step 5: Solve for x
    x = 39,866.26/164.01
  6. Step 6: Final answer
    x = 243.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.