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Finding the Fourth Proportional to 236.76, 353.24 and 210.78

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Solution

The fourth proportional to 236.76, 353.24 and 210.78 is: 314.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.76 : 353.24 = 210.78 : x
  2. Step 2: Convert to fraction form
    236.76/353.24 = 210.78/x
  3. Step 3: Cross multiply
    236.76x = 353.24 × 210.78
  4. Step 4: Simplify right side
    236.76x = 74,455.93
  5. Step 5: Solve for x
    x = 74,455.93/236.76
  6. Step 6: Final answer
    x = 314.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.