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Finding the Fourth Proportional to 328.73, 452.57 and 285.08

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Solution

The fourth proportional to 328.73, 452.57 and 285.08 is: 392.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.73 : 452.57 = 285.08 : x
  2. Step 2: Convert to fraction form
    328.73/452.57 = 285.08/x
  3. Step 3: Cross multiply
    328.73x = 452.57 × 285.08
  4. Step 4: Simplify right side
    328.73x = 129,014.97
  5. Step 5: Solve for x
    x = 129,014.97/328.73
  6. Step 6: Final answer
    x = 392.47

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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.