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Finding the Fourth Proportional to 236.96, 354.88 and 194.08

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Solution

The fourth proportional to 236.96, 354.88 and 194.08 is: 290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.96 : 354.88 = 194.08 : x
  2. Step 2: Convert to fraction form
    236.96/354.88 = 194.08/x
  3. Step 3: Cross multiply
    236.96x = 354.88 × 194.08
  4. Step 4: Simplify right side
    236.96x = 68,875.11
  5. Step 5: Solve for x
    x = 68,875.11/236.96
  6. Step 6: Final answer
    x = 290.66

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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.