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Finding the Fourth Proportional to 237.99, 356.98 and 75.68

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Solution

The fourth proportional to 237.99, 356.98 and 75.68 is: 113.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.99 : 356.98 = 75.68 : x
  2. Step 2: Convert to fraction form
    237.99/356.98 = 75.68/x
  3. Step 3: Cross multiply
    237.99x = 356.98 × 75.68
  4. Step 4: Simplify right side
    237.99x = 27,016.25
  5. Step 5: Solve for x
    x = 27,016.25/237.99
  6. Step 6: Final answer
    x = 113.52

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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.