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Finding the Fourth Proportional to 372.30, 513.76 and 206.51

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Solution

The fourth proportional to 372.30, 513.76 and 206.51 is: 284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.30 : 513.76 = 206.51 : x
  2. Step 2: Convert to fraction form
    372.30/513.76 = 206.51/x
  3. Step 3: Cross multiply
    372.30x = 513.76 × 206.51
  4. Step 4: Simplify right side
    372.30x = 106,096.58
  5. Step 5: Solve for x
    x = 106,096.58/372.30
  6. Step 6: Final answer
    x = 284.98

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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.