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Finding the Fourth Proportional to 328.16, 494.46 and 271.65

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Solution

The fourth proportional to 328.16, 494.46 and 271.65 is: 409.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.16 : 494.46 = 271.65 : x
  2. Step 2: Convert to fraction form
    328.16/494.46 = 271.65/x
  3. Step 3: Cross multiply
    328.16x = 494.46 × 271.65
  4. Step 4: Simplify right side
    328.16x = 134,320.06
  5. Step 5: Solve for x
    x = 134,320.06/328.16
  6. Step 6: Final answer
    x = 409.31

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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.