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Finding the Fourth Proportional to 667.34, 1,001.15 and 205.15

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Solution

The fourth proportional to 667.34, 1,001.15 and 205.15 is: 307.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.34 : 1,001.15 = 205.15 : x
  2. Step 2: Convert to fraction form
    667.34/1,001.15 = 205.15/x
  3. Step 3: Cross multiply
    667.34x = 1,001.15 × 205.15
  4. Step 4: Simplify right side
    667.34x = 205,382.39
  5. Step 5: Solve for x
    x = 205,382.39/667.34
  6. Step 6: Final answer
    x = 307.77

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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.