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Finding the Fourth Proportional to 402.22, 603.64 and 265.22

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Solution

The fourth proportional to 402.22, 603.64 and 265.22 is: 398.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.22 : 603.64 = 265.22 : x
  2. Step 2: Convert to fraction form
    402.22/603.64 = 265.22/x
  3. Step 3: Cross multiply
    402.22x = 603.64 × 265.22
  4. Step 4: Simplify right side
    402.22x = 160,096.07
  5. Step 5: Solve for x
    x = 160,096.07/402.22
  6. Step 6: Final answer
    x = 398.03

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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.