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Finding the Fourth Proportional to 430.19, 593.24 and 311.96

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Solution

The fourth proportional to 430.19, 593.24 and 311.96 is: 430.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.19 : 593.24 = 311.96 : x
  2. Step 2: Convert to fraction form
    430.19/593.24 = 311.96/x
  3. Step 3: Cross multiply
    430.19x = 593.24 × 311.96
  4. Step 4: Simplify right side
    430.19x = 185,062.62
  5. Step 5: Solve for x
    x = 185,062.62/430.19
  6. Step 6: Final answer
    x = 430.19

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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.