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Finding the Fourth Proportional to 442.21, 659.42 and 438.26

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Solution

The fourth proportional to 442.21, 659.42 and 438.26 is: 653.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.21 : 659.42 = 438.26 : x
  2. Step 2: Convert to fraction form
    442.21/659.42 = 438.26/x
  3. Step 3: Cross multiply
    442.21x = 659.42 × 438.26
  4. Step 4: Simplify right side
    442.21x = 288,991.92
  5. Step 5: Solve for x
    x = 288,991.92/442.21
  6. Step 6: Final answer
    x = 653.52

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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.