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Finding the Fourth Proportional to 402.65, 603.87 and 171.42

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Solution

The fourth proportional to 402.65, 603.87 and 171.42 is: 257.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.65 : 603.87 = 171.42 : x
  2. Step 2: Convert to fraction form
    402.65/603.87 = 171.42/x
  3. Step 3: Cross multiply
    402.65x = 603.87 × 171.42
  4. Step 4: Simplify right side
    402.65x = 103,515.40
  5. Step 5: Solve for x
    x = 103,515.40/402.65
  6. Step 6: Final answer
    x = 257.09

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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.