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Finding the Fourth Proportional to 328.56, 490.76 and 274.52

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Solution

The fourth proportional to 328.56, 490.76 and 274.52 is: 410.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.56 : 490.76 = 274.52 : x
  2. Step 2: Convert to fraction form
    328.56/490.76 = 274.52/x
  3. Step 3: Cross multiply
    328.56x = 490.76 × 274.52
  4. Step 4: Simplify right side
    328.56x = 134,723.44
  5. Step 5: Solve for x
    x = 134,723.44/328.56
  6. Step 6: Final answer
    x = 410.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.