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Finding the Fourth Proportional to 427.64, 590.37 and 329.18

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Solution

The fourth proportional to 427.64, 590.37 and 329.18 is: 454.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.64 : 590.37 = 329.18 : x
  2. Step 2: Convert to fraction form
    427.64/590.37 = 329.18/x
  3. Step 3: Cross multiply
    427.64x = 590.37 × 329.18
  4. Step 4: Simplify right side
    427.64x = 194,338.00
  5. Step 5: Solve for x
    x = 194,338.00/427.64
  6. Step 6: Final answer
    x = 454.44

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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.