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Finding the Fourth Proportional to 235.52, 351.68 and 206.72

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Solution

The fourth proportional to 235.52, 351.68 and 206.72 is: 308.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.52 : 351.68 = 206.72 : x
  2. Step 2: Convert to fraction form
    235.52/351.68 = 206.72/x
  3. Step 3: Cross multiply
    235.52x = 351.68 × 206.72
  4. Step 4: Simplify right side
    235.52x = 72,699.29
  5. Step 5: Solve for x
    x = 72,699.29/235.52
  6. Step 6: Final answer
    x = 308.68

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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.