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Finding the Fourth Proportional to 442.30, 666.01 and 394

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Solution

The fourth proportional to 442.30, 666.01 and 394 is: 593.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.30 : 666.01 = 394 : x
  2. Step 2: Convert to fraction form
    442.30/666.01 = 394/x
  3. Step 3: Cross multiply
    442.30x = 666.01 × 394
  4. Step 4: Simplify right side
    442.30x = 262,407.94
  5. Step 5: Solve for x
    x = 262,407.94/442.30
  6. Step 6: Final answer
    x = 593.28

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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.