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Finding the Fourth Proportional to 164.60, 247.16 and 142.92

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Solution

The fourth proportional to 164.60, 247.16 and 142.92 is: 214.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.60 : 247.16 = 142.92 : x
  2. Step 2: Convert to fraction form
    164.60/247.16 = 142.92/x
  3. Step 3: Cross multiply
    164.60x = 247.16 × 142.92
  4. Step 4: Simplify right side
    164.60x = 35,324.11
  5. Step 5: Solve for x
    x = 35,324.11/164.60
  6. Step 6: Final answer
    x = 214.61

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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.