Home / 758.14-1,137.27-238.20

Finding the Fourth Proportional to 758.14, 1,137.27 and 238.20

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Solution

The fourth proportional to 758.14, 1,137.27 and 238.20 is: 357.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.14 : 1,137.27 = 238.20 : x
  2. Step 2: Convert to fraction form
    758.14/1,137.27 = 238.20/x
  3. Step 3: Cross multiply
    758.14x = 1,137.27 × 238.20
  4. Step 4: Simplify right side
    758.14x = 270,897.71
  5. Step 5: Solve for x
    x = 270,897.71/758.14
  6. Step 6: Final answer
    x = 357.32

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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.