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Finding the Fourth Proportional to 325.93, 490.78 and 271.57

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Solution

The fourth proportional to 325.93, 490.78 and 271.57 is: 408.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.93 : 490.78 = 271.57 : x
  2. Step 2: Convert to fraction form
    325.93/490.78 = 271.57/x
  3. Step 3: Cross multiply
    325.93x = 490.78 × 271.57
  4. Step 4: Simplify right side
    325.93x = 133,281.12
  5. Step 5: Solve for x
    x = 133,281.12/325.93
  6. Step 6: Final answer
    x = 408.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.