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Finding the Fourth Proportional to 236.68, 325.16 and 213.28

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Solution

The fourth proportional to 236.68, 325.16 and 213.28 is: 293.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.68 : 325.16 = 213.28 : x
  2. Step 2: Convert to fraction form
    236.68/325.16 = 213.28/x
  3. Step 3: Cross multiply
    236.68x = 325.16 × 213.28
  4. Step 4: Simplify right side
    236.68x = 69,350.12
  5. Step 5: Solve for x
    x = 69,350.12/236.68
  6. Step 6: Final answer
    x = 293.01

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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.