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Finding the Fourth Proportional to 402.04, 602.26 and 324.60

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Solution

The fourth proportional to 402.04, 602.26 and 324.60 is: 486.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.04 : 602.26 = 324.60 : x
  2. Step 2: Convert to fraction form
    402.04/602.26 = 324.60/x
  3. Step 3: Cross multiply
    402.04x = 602.26 × 324.60
  4. Step 4: Simplify right side
    402.04x = 195,493.60
  5. Step 5: Solve for x
    x = 195,493.60/402.04
  6. Step 6: Final answer
    x = 486.25

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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.