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Finding the Fourth Proportional to 427.52, 590.04 and 301.68

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Solution

The fourth proportional to 427.52, 590.04 and 301.68 is: 416.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.52 : 590.04 = 301.68 : x
  2. Step 2: Convert to fraction form
    427.52/590.04 = 301.68/x
  3. Step 3: Cross multiply
    427.52x = 590.04 × 301.68
  4. Step 4: Simplify right side
    427.52x = 178,003.27
  5. Step 5: Solve for x
    x = 178,003.27/427.52
  6. Step 6: Final answer
    x = 416.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.