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Finding the Fourth Proportional to 442.88, 660.88 and 394.40

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Solution

The fourth proportional to 442.88, 660.88 and 394.40 is: 588.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.88 : 660.88 = 394.40 : x
  2. Step 2: Convert to fraction form
    442.88/660.88 = 394.40/x
  3. Step 3: Cross multiply
    442.88x = 660.88 × 394.40
  4. Step 4: Simplify right side
    442.88x = 260,651.07
  5. Step 5: Solve for x
    x = 260,651.07/442.88
  6. Step 6: Final answer
    x = 588.54

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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.