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Finding the Fourth Proportional to 236.76, 354.33 and 198.30

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Solution

The fourth proportional to 236.76, 354.33 and 198.30 is: 296.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.76 : 354.33 = 198.30 : x
  2. Step 2: Convert to fraction form
    236.76/354.33 = 198.30/x
  3. Step 3: Cross multiply
    236.76x = 354.33 × 198.30
  4. Step 4: Simplify right side
    236.76x = 70,263.64
  5. Step 5: Solve for x
    x = 70,263.64/236.76
  6. Step 6: Final answer
    x = 296.77

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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.