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Finding the Fourth Proportional to 383.24, 575 and 139.79

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Solution

The fourth proportional to 383.24, 575 and 139.79 is: 209.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.24 : 575 = 139.79 : x
  2. Step 2: Convert to fraction form
    383.24/575 = 139.79/x
  3. Step 3: Cross multiply
    383.24x = 575 × 139.79
  4. Step 4: Simplify right side
    383.24x = 80,379.25
  5. Step 5: Solve for x
    x = 80,379.25/383.24
  6. Step 6: Final answer
    x = 209.74

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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.