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Finding the Fourth Proportional to 382.28, 570.36 and 347.64

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Solution

The fourth proportional to 382.28, 570.36 and 347.64 is: 518.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.28 : 570.36 = 347.64 : x
  2. Step 2: Convert to fraction form
    382.28/570.36 = 347.64/x
  3. Step 3: Cross multiply
    382.28x = 570.36 × 347.64
  4. Step 4: Simplify right side
    382.28x = 198,279.95
  5. Step 5: Solve for x
    x = 198,279.95/382.28
  6. Step 6: Final answer
    x = 518.68

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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.