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Finding the Fourth Proportional to 328.32, 489.60 and 274.56

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Solution

The fourth proportional to 328.32, 489.60 and 274.56 is: 409.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.32 : 489.60 = 274.56 : x
  2. Step 2: Convert to fraction form
    328.32/489.60 = 274.56/x
  3. Step 3: Cross multiply
    328.32x = 489.60 × 274.56
  4. Step 4: Simplify right side
    328.32x = 134,424.58
  5. Step 5: Solve for x
    x = 134,424.58/328.32
  6. Step 6: Final answer
    x = 409.43

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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.