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Finding the Fourth Proportional to 204.98, 307.34 and 83.13

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Solution

The fourth proportional to 204.98, 307.34 and 83.13 is: 124.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.98 : 307.34 = 83.13 : x
  2. Step 2: Convert to fraction form
    204.98/307.34 = 83.13/x
  3. Step 3: Cross multiply
    204.98x = 307.34 × 83.13
  4. Step 4: Simplify right side
    204.98x = 25,548.76
  5. Step 5: Solve for x
    x = 25,548.76/204.98
  6. Step 6: Final answer
    x = 124.64

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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.