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Finding the Fourth Proportional to 445.88, 666.20 and 392.42

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Solution

The fourth proportional to 445.88, 666.20 and 392.42 is: 586.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.88 : 666.20 = 392.42 : x
  2. Step 2: Convert to fraction form
    445.88/666.20 = 392.42/x
  3. Step 3: Cross multiply
    445.88x = 666.20 × 392.42
  4. Step 4: Simplify right side
    445.88x = 261,430.20
  5. Step 5: Solve for x
    x = 261,430.20/445.88
  6. Step 6: Final answer
    x = 586.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.