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Finding the Fourth Proportional to 402.02, 603.43 and 170.85

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Solution

The fourth proportional to 402.02, 603.43 and 170.85 is: 256.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.02 : 603.43 = 170.85 : x
  2. Step 2: Convert to fraction form
    402.02/603.43 = 170.85/x
  3. Step 3: Cross multiply
    402.02x = 603.43 × 170.85
  4. Step 4: Simplify right side
    402.02x = 103,096.02
  5. Step 5: Solve for x
    x = 103,096.02/402.02
  6. Step 6: Final answer
    x = 256.44

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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.