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Finding the Fourth Proportional to 445.34, 667.57 and 185.30

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Solution

The fourth proportional to 445.34, 667.57 and 185.30 is: 277.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.34 : 667.57 = 185.30 : x
  2. Step 2: Convert to fraction form
    445.34/667.57 = 185.30/x
  3. Step 3: Cross multiply
    445.34x = 667.57 × 185.30
  4. Step 4: Simplify right side
    445.34x = 123,700.72
  5. Step 5: Solve for x
    x = 123,700.72/445.34
  6. Step 6: Final answer
    x = 277.77

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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.