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Finding the Fourth Proportional to 372.36, 513.80 and 206.56

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Solution

The fourth proportional to 372.36, 513.80 and 206.56 is: 285.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.36 : 513.80 = 206.56 : x
  2. Step 2: Convert to fraction form
    372.36/513.80 = 206.56/x
  3. Step 3: Cross multiply
    372.36x = 513.80 × 206.56
  4. Step 4: Simplify right side
    372.36x = 106,130.53
  5. Step 5: Solve for x
    x = 106,130.53/372.36
  6. Step 6: Final answer
    x = 285.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.