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Finding the Fourth Proportional to 235.66, 352.98 and 209.69

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Solution

The fourth proportional to 235.66, 352.98 and 209.69 is: 314.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.66 : 352.98 = 209.69 : x
  2. Step 2: Convert to fraction form
    235.66/352.98 = 209.69/x
  3. Step 3: Cross multiply
    235.66x = 352.98 × 209.69
  4. Step 4: Simplify right side
    235.66x = 74,016.38
  5. Step 5: Solve for x
    x = 74,016.38/235.66
  6. Step 6: Final answer
    x = 314.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.