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Finding the Fourth Proportional to 431.05, 593.81 and 356.05

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Solution

The fourth proportional to 431.05, 593.81 and 356.05 is: 490.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.05 : 593.81 = 356.05 : x
  2. Step 2: Convert to fraction form
    431.05/593.81 = 356.05/x
  3. Step 3: Cross multiply
    431.05x = 593.81 × 356.05
  4. Step 4: Simplify right side
    431.05x = 211,422.01
  5. Step 5: Solve for x
    x = 211,422.01/431.05
  6. Step 6: Final answer
    x = 490.49

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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.