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Finding the Fourth Proportional to 309.60, 427.05 and 204.66

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Solution

The fourth proportional to 309.60, 427.05 and 204.66 is: 282.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.60 : 427.05 = 204.66 : x
  2. Step 2: Convert to fraction form
    309.60/427.05 = 204.66/x
  3. Step 3: Cross multiply
    309.60x = 427.05 × 204.66
  4. Step 4: Simplify right side
    309.60x = 87,400.05
  5. Step 5: Solve for x
    x = 87,400.05/309.60
  6. Step 6: Final answer
    x = 282.30

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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.