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Finding the Fourth Proportional to 445.30, 666.17 and 385.08

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Solution

The fourth proportional to 445.30, 666.17 and 385.08 is: 576.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.30 : 666.17 = 385.08 : x
  2. Step 2: Convert to fraction form
    445.30/666.17 = 385.08/x
  3. Step 3: Cross multiply
    445.30x = 666.17 × 385.08
  4. Step 4: Simplify right side
    445.30x = 256,528.74
  5. Step 5: Solve for x
    x = 256,528.74/445.30
  6. Step 6: Final answer
    x = 576.08

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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.