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Finding the Fourth Proportional to 235.17, 352.35 and 204.80

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Solution

The fourth proportional to 235.17, 352.35 and 204.80 is: 306.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.17 : 352.35 = 204.80 : x
  2. Step 2: Convert to fraction form
    235.17/352.35 = 204.80/x
  3. Step 3: Cross multiply
    235.17x = 352.35 × 204.80
  4. Step 4: Simplify right side
    235.17x = 72,159.52
  5. Step 5: Solve for x
    x = 72,159.52/235.17
  6. Step 6: Final answer
    x = 306.84

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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.