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Finding the Fourth Proportional to 431.07, 593.96 and 378.21

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Solution

The fourth proportional to 431.07, 593.96 and 378.21 is: 521.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.07 : 593.96 = 378.21 : x
  2. Step 2: Convert to fraction form
    431.07/593.96 = 378.21/x
  3. Step 3: Cross multiply
    431.07x = 593.96 × 378.21
  4. Step 4: Simplify right side
    431.07x = 224,639.72
  5. Step 5: Solve for x
    x = 224,639.72/431.07
  6. Step 6: Final answer
    x = 521.12

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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.