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Finding the Fourth Proportional to 309.96, 427.51 and 204.86

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Solution

The fourth proportional to 309.96, 427.51 and 204.86 is: 282.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.96 : 427.51 = 204.86 : x
  2. Step 2: Convert to fraction form
    309.96/427.51 = 204.86/x
  3. Step 3: Cross multiply
    309.96x = 427.51 × 204.86
  4. Step 4: Simplify right side
    309.96x = 87,581.02
  5. Step 5: Solve for x
    x = 87,581.02/309.96
  6. Step 6: Final answer
    x = 282.56

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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.