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Finding the Fourth Proportional to 430.44, 593.82 and 306.36

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Solution

The fourth proportional to 430.44, 593.82 and 306.36 is: 422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.44 : 593.82 = 306.36 : x
  2. Step 2: Convert to fraction form
    430.44/593.82 = 306.36/x
  3. Step 3: Cross multiply
    430.44x = 593.82 × 306.36
  4. Step 4: Simplify right side
    430.44x = 181,922.70
  5. Step 5: Solve for x
    x = 181,922.70/430.44
  6. Step 6: Final answer
    x = 422.64

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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.