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Finding the Fourth Proportional to 402.27, 602.34 and 376.65

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Solution

The fourth proportional to 402.27, 602.34 and 376.65 is: 563.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.27 : 602.34 = 376.65 : x
  2. Step 2: Convert to fraction form
    402.27/602.34 = 376.65/x
  3. Step 3: Cross multiply
    402.27x = 602.34 × 376.65
  4. Step 4: Simplify right side
    402.27x = 226,869.95
  5. Step 5: Solve for x
    x = 226,869.95/402.27
  6. Step 6: Final answer
    x = 563.98

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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.