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Finding the Fourth Proportional to 380.30, 523.53 and 328.52

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Solution

The fourth proportional to 380.30, 523.53 and 328.52 is: 452.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.30 : 523.53 = 328.52 : x
  2. Step 2: Convert to fraction form
    380.30/523.53 = 328.52/x
  3. Step 3: Cross multiply
    380.30x = 523.53 × 328.52
  4. Step 4: Simplify right side
    380.30x = 171,991.38
  5. Step 5: Solve for x
    x = 171,991.38/380.30
  6. Step 6: Final answer
    x = 452.26

Related Problems

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Double scale
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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.