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Finding the Fourth Proportional to 429.96, 593.26 and 272.68

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Solution

The fourth proportional to 429.96, 593.26 and 272.68 is: 376.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.96 : 593.26 = 272.68 : x
  2. Step 2: Convert to fraction form
    429.96/593.26 = 272.68/x
  3. Step 3: Cross multiply
    429.96x = 593.26 × 272.68
  4. Step 4: Simplify right side
    429.96x = 161,770.14
  5. Step 5: Solve for x
    x = 161,770.14/429.96
  6. Step 6: Final answer
    x = 376.24

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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.