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Finding the Fourth Proportional to 204.39, 307.67 and 143.94

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Solution

The fourth proportional to 204.39, 307.67 and 143.94 is: 216.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.39 : 307.67 = 143.94 : x
  2. Step 2: Convert to fraction form
    204.39/307.67 = 143.94/x
  3. Step 3: Cross multiply
    204.39x = 307.67 × 143.94
  4. Step 4: Simplify right side
    204.39x = 44,285.30
  5. Step 5: Solve for x
    x = 44,285.30/204.39
  6. Step 6: Final answer
    x = 216.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.