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Finding the Fourth Proportional to 236.48, 355.96 and 214.12

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Solution

The fourth proportional to 236.48, 355.96 and 214.12 is: 322.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.48 : 355.96 = 214.12 : x
  2. Step 2: Convert to fraction form
    236.48/355.96 = 214.12/x
  3. Step 3: Cross multiply
    236.48x = 355.96 × 214.12
  4. Step 4: Simplify right side
    236.48x = 76,218.16
  5. Step 5: Solve for x
    x = 76,218.16/236.48
  6. Step 6: Final answer
    x = 322.30

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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.