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Finding the Fourth Proportional to 402.89, 604.47 and 186.62

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Solution

The fourth proportional to 402.89, 604.47 and 186.62 is: 279.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.89 : 604.47 = 186.62 : x
  2. Step 2: Convert to fraction form
    402.89/604.47 = 186.62/x
  3. Step 3: Cross multiply
    402.89x = 604.47 × 186.62
  4. Step 4: Simplify right side
    402.89x = 112,806.19
  5. Step 5: Solve for x
    x = 112,806.19/402.89
  6. Step 6: Final answer
    x = 279.99

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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.