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Finding the Fourth Proportional to 370.72, 511.62 and 204.97

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Solution

The fourth proportional to 370.72, 511.62 and 204.97 is: 282.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.72 : 511.62 = 204.97 : x
  2. Step 2: Convert to fraction form
    370.72/511.62 = 204.97/x
  3. Step 3: Cross multiply
    370.72x = 511.62 × 204.97
  4. Step 4: Simplify right side
    370.72x = 104,866.75
  5. Step 5: Solve for x
    x = 104,866.75/370.72
  6. Step 6: Final answer
    x = 282.87

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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.