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Finding the Fourth Proportional to 383.26, 571.70 and 339.52

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Solution

The fourth proportional to 383.26, 571.70 and 339.52 is: 506.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.26 : 571.70 = 339.52 : x
  2. Step 2: Convert to fraction form
    383.26/571.70 = 339.52/x
  3. Step 3: Cross multiply
    383.26x = 571.70 × 339.52
  4. Step 4: Simplify right side
    383.26x = 194,103.58
  5. Step 5: Solve for x
    x = 194,103.58/383.26
  6. Step 6: Final answer
    x = 506.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.