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Finding the Fourth Proportional to 237.20, 327.66 and 188.70

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Solution

The fourth proportional to 237.20, 327.66 and 188.70 is: 260.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.20 : 327.66 = 188.70 : x
  2. Step 2: Convert to fraction form
    237.20/327.66 = 188.70/x
  3. Step 3: Cross multiply
    237.20x = 327.66 × 188.70
  4. Step 4: Simplify right side
    237.20x = 61,829.44
  5. Step 5: Solve for x
    x = 61,829.44/237.20
  6. Step 6: Final answer
    x = 260.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.