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Finding the Fourth Proportional to 372.05, 513.40 and 206.23

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Solution

The fourth proportional to 372.05, 513.40 and 206.23 is: 284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.05 : 513.40 = 206.23 : x
  2. Step 2: Convert to fraction form
    372.05/513.40 = 206.23/x
  3. Step 3: Cross multiply
    372.05x = 513.40 × 206.23
  4. Step 4: Simplify right side
    372.05x = 105,878.48
  5. Step 5: Solve for x
    x = 105,878.48/372.05
  6. Step 6: Final answer
    x = 284.58

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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.