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Finding the Fourth Proportional to 236.32, 325.33 and 224.77

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Solution

The fourth proportional to 236.32, 325.33 and 224.77 is: 309.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.32 : 325.33 = 224.77 : x
  2. Step 2: Convert to fraction form
    236.32/325.33 = 224.77/x
  3. Step 3: Cross multiply
    236.32x = 325.33 × 224.77
  4. Step 4: Simplify right side
    236.32x = 73,124.42
  5. Step 5: Solve for x
    x = 73,124.42/236.32
  6. Step 6: Final answer
    x = 309.43

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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.