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Finding the Fourth Proportional to 257.99, 387.04 and 75.37

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Solution

The fourth proportional to 257.99, 387.04 and 75.37 is: 113.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.99 : 387.04 = 75.37 : x
  2. Step 2: Convert to fraction form
    257.99/387.04 = 75.37/x
  3. Step 3: Cross multiply
    257.99x = 387.04 × 75.37
  4. Step 4: Simplify right side
    257.99x = 29,169.62
  5. Step 5: Solve for x
    x = 29,169.62/257.99
  6. Step 6: Final answer
    x = 113.07

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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.