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Finding the Fourth Proportional to 237.99, 357.05 and 75.69

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Solution

The fourth proportional to 237.99, 357.05 and 75.69 is: 113.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.99 : 357.05 = 75.69 : x
  2. Step 2: Convert to fraction form
    237.99/357.05 = 75.69/x
  3. Step 3: Cross multiply
    237.99x = 357.05 × 75.69
  4. Step 4: Simplify right side
    237.99x = 27,025.02
  5. Step 5: Solve for x
    x = 27,025.02/237.99
  6. Step 6: Final answer
    x = 113.55

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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.