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Finding the Fourth Proportional to 402.89, 556.19 and 378.59

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Solution

The fourth proportional to 402.89, 556.19 and 378.59 is: 522.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.89 : 556.19 = 378.59 : x
  2. Step 2: Convert to fraction form
    402.89/556.19 = 378.59/x
  3. Step 3: Cross multiply
    402.89x = 556.19 × 378.59
  4. Step 4: Simplify right side
    402.89x = 210,568.91
  5. Step 5: Solve for x
    x = 210,568.91/402.89
  6. Step 6: Final answer
    x = 522.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.