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Finding the Fourth Proportional to 236.79, 353.50 and 206.08

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Solution

The fourth proportional to 236.79, 353.50 and 206.08 is: 307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.79 : 353.50 = 206.08 : x
  2. Step 2: Convert to fraction form
    236.79/353.50 = 206.08/x
  3. Step 3: Cross multiply
    236.79x = 353.50 × 206.08
  4. Step 4: Simplify right side
    236.79x = 72,847.88
  5. Step 5: Solve for x
    x = 72,847.88/236.79
  6. Step 6: Final answer
    x = 307.65

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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.