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Finding the Fourth Proportional to 328.78, 454.17 and 285.04

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Solution

The fourth proportional to 328.78, 454.17 and 285.04 is: 393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.78 : 454.17 = 285.04 : x
  2. Step 2: Convert to fraction form
    328.78/454.17 = 285.04/x
  3. Step 3: Cross multiply
    328.78x = 454.17 × 285.04
  4. Step 4: Simplify right side
    328.78x = 129,456.62
  5. Step 5: Solve for x
    x = 129,456.62/328.78
  6. Step 6: Final answer
    x = 393.75

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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.