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Finding the Fourth Proportional to 236.19, 325.85 and 142.91

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Solution

The fourth proportional to 236.19, 325.85 and 142.91 is: 197.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.19 : 325.85 = 142.91 : x
  2. Step 2: Convert to fraction form
    236.19/325.85 = 142.91/x
  3. Step 3: Cross multiply
    236.19x = 325.85 × 142.91
  4. Step 4: Simplify right side
    236.19x = 46,568.34
  5. Step 5: Solve for x
    x = 46,568.34/236.19
  6. Step 6: Final answer
    x = 197.16

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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.