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Finding the Fourth Proportional to 438.10, 655.57 and 322.25

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Solution

The fourth proportional to 438.10, 655.57 and 322.25 is: 482.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.10 : 655.57 = 322.25 : x
  2. Step 2: Convert to fraction form
    438.10/655.57 = 322.25/x
  3. Step 3: Cross multiply
    438.10x = 655.57 × 322.25
  4. Step 4: Simplify right side
    438.10x = 211,257.43
  5. Step 5: Solve for x
    x = 211,257.43/438.10
  6. Step 6: Final answer
    x = 482.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.