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Finding the Fourth Proportional to 236.10, 325.77 and 142.87

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Solution

The fourth proportional to 236.10, 325.77 and 142.87 is: 197.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.10 : 325.77 = 142.87 : x
  2. Step 2: Convert to fraction form
    236.10/325.77 = 142.87/x
  3. Step 3: Cross multiply
    236.10x = 325.77 × 142.87
  4. Step 4: Simplify right side
    236.10x = 46,542.76
  5. Step 5: Solve for x
    x = 46,542.76/236.10
  6. Step 6: Final answer
    x = 197.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.