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Finding the Fourth Proportional to 342.20, 512.90 and 205.32

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Solution

The fourth proportional to 342.20, 512.90 and 205.32 is: 307.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.20 : 512.90 = 205.32 : x
  2. Step 2: Convert to fraction form
    342.20/512.90 = 205.32/x
  3. Step 3: Cross multiply
    342.20x = 512.90 × 205.32
  4. Step 4: Simplify right side
    342.20x = 105,308.63
  5. Step 5: Solve for x
    x = 105,308.63/342.20
  6. Step 6: Final answer
    x = 307.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.