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Finding the Fourth Proportional to 237.67, 356.81 and 100.60

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Solution

The fourth proportional to 237.67, 356.81 and 100.60 is: 151.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.67 : 356.81 = 100.60 : x
  2. Step 2: Convert to fraction form
    237.67/356.81 = 100.60/x
  3. Step 3: Cross multiply
    237.67x = 356.81 × 100.60
  4. Step 4: Simplify right side
    237.67x = 35,893.69
  5. Step 5: Solve for x
    x = 35,893.69/237.67
  6. Step 6: Final answer
    x = 151.02

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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.