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Finding the Fourth Proportional to 427.72, 590.34 and 334.28

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Solution

The fourth proportional to 427.72, 590.34 and 334.28 is: 461.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.72 : 590.34 = 334.28 : x
  2. Step 2: Convert to fraction form
    427.72/590.34 = 334.28/x
  3. Step 3: Cross multiply
    427.72x = 590.34 × 334.28
  4. Step 4: Simplify right side
    427.72x = 197,338.86
  5. Step 5: Solve for x
    x = 197,338.86/427.72
  6. Step 6: Final answer
    x = 461.37

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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.