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Finding the Fourth Proportional to 427.55, 590.31 and 329.54

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Solution

The fourth proportional to 427.55, 590.31 and 329.54 is: 454.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.55 : 590.31 = 329.54 : x
  2. Step 2: Convert to fraction form
    427.55/590.31 = 329.54/x
  3. Step 3: Cross multiply
    427.55x = 590.31 × 329.54
  4. Step 4: Simplify right side
    427.55x = 194,526.16
  5. Step 5: Solve for x
    x = 194,526.16/427.55
  6. Step 6: Final answer
    x = 454.98

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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.