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Finding the Fourth Proportional to 235.84, 352.28 and 208.96

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Solution

The fourth proportional to 235.84, 352.28 and 208.96 is: 312.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.84 : 352.28 = 208.96 : x
  2. Step 2: Convert to fraction form
    235.84/352.28 = 208.96/x
  3. Step 3: Cross multiply
    235.84x = 352.28 × 208.96
  4. Step 4: Simplify right side
    235.84x = 73,612.43
  5. Step 5: Solve for x
    x = 73,612.43/235.84
  6. Step 6: Final answer
    x = 312.13

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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.