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Finding the Fourth Proportional to 328.80, 454.02 and 285.60

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Solution

The fourth proportional to 328.80, 454.02 and 285.60 is: 394.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.80 : 454.02 = 285.60 : x
  2. Step 2: Convert to fraction form
    328.80/454.02 = 285.60/x
  3. Step 3: Cross multiply
    328.80x = 454.02 × 285.60
  4. Step 4: Simplify right side
    328.80x = 129,668.11
  5. Step 5: Solve for x
    x = 129,668.11/328.80
  6. Step 6: Final answer
    x = 394.37

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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.