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Finding the Fourth Proportional to 237.44, 354.45 and 206.69

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Solution

The fourth proportional to 237.44, 354.45 and 206.69 is: 308.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.44 : 354.45 = 206.69 : x
  2. Step 2: Convert to fraction form
    237.44/354.45 = 206.69/x
  3. Step 3: Cross multiply
    237.44x = 354.45 × 206.69
  4. Step 4: Simplify right side
    237.44x = 73,259.50
  5. Step 5: Solve for x
    x = 73,259.50/237.44
  6. Step 6: Final answer
    x = 308.55

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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.