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Finding the Fourth Proportional to 442.19, 659.85 and 396.06

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Solution

The fourth proportional to 442.19, 659.85 and 396.06 is: 591.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.19 : 659.85 = 396.06 : x
  2. Step 2: Convert to fraction form
    442.19/659.85 = 396.06/x
  3. Step 3: Cross multiply
    442.19x = 659.85 × 396.06
  4. Step 4: Simplify right side
    442.19x = 261,340.19
  5. Step 5: Solve for x
    x = 261,340.19/442.19
  6. Step 6: Final answer
    x = 591.02

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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.