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Finding the Fourth Proportional to 235.76, 351.75 and 209.78

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Solution

The fourth proportional to 235.76, 351.75 and 209.78 is: 312.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.76 : 351.75 = 209.78 : x
  2. Step 2: Convert to fraction form
    235.76/351.75 = 209.78/x
  3. Step 3: Cross multiply
    235.76x = 351.75 × 209.78
  4. Step 4: Simplify right side
    235.76x = 73,788.75
  5. Step 5: Solve for x
    x = 73,788.75/235.76
  6. Step 6: Final answer
    x = 312.98

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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.