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Finding the Fourth Proportional to 235.30, 352.51 and 204.50

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Solution

The fourth proportional to 235.30, 352.51 and 204.50 is: 306.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.30 : 352.51 = 204.50 : x
  2. Step 2: Convert to fraction form
    235.30/352.51 = 204.50/x
  3. Step 3: Cross multiply
    235.30x = 352.51 × 204.50
  4. Step 4: Simplify right side
    235.30x = 72,088.30
  5. Step 5: Solve for x
    x = 72,088.30/235.30
  6. Step 6: Final answer
    x = 306.37

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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.