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Finding the Fourth Proportional to 397.42, 593.36 and 335.32

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Solution

The fourth proportional to 397.42, 593.36 and 335.32 is: 500.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.42 : 593.36 = 335.32 : x
  2. Step 2: Convert to fraction form
    397.42/593.36 = 335.32/x
  3. Step 3: Cross multiply
    397.42x = 593.36 × 335.32
  4. Step 4: Simplify right side
    397.42x = 198,965.48
  5. Step 5: Solve for x
    x = 198,965.48/397.42
  6. Step 6: Final answer
    x = 500.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.