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Finding the Fourth Proportional to 204.90, 307.65 and 124.11

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Solution

The fourth proportional to 204.90, 307.65 and 124.11 is: 186.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.90 : 307.65 = 124.11 : x
  2. Step 2: Convert to fraction form
    204.90/307.65 = 124.11/x
  3. Step 3: Cross multiply
    204.90x = 307.65 × 124.11
  4. Step 4: Simplify right side
    204.90x = 38,182.44
  5. Step 5: Solve for x
    x = 38,182.44/204.90
  6. Step 6: Final answer
    x = 186.35

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