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Finding the Fourth Proportional to 569.16, 852.42 and 338.20

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Solution

The fourth proportional to 569.16, 852.42 and 338.20 is: 506.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.16 : 852.42 = 338.20 : x
  2. Step 2: Convert to fraction form
    569.16/852.42 = 338.20/x
  3. Step 3: Cross multiply
    569.16x = 852.42 × 338.20
  4. Step 4: Simplify right side
    569.16x = 288,288.44
  5. Step 5: Solve for x
    x = 288,288.44/569.16
  6. Step 6: Final answer
    x = 506.52

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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.