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Finding the Fourth Proportional to 301.16, 416.04 and 238.78

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Solution

The fourth proportional to 301.16, 416.04 and 238.78 is: 329.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.16 : 416.04 = 238.78 : x
  2. Step 2: Convert to fraction form
    301.16/416.04 = 238.78/x
  3. Step 3: Cross multiply
    301.16x = 416.04 × 238.78
  4. Step 4: Simplify right side
    301.16x = 99,342.03
  5. Step 5: Solve for x
    x = 99,342.03/301.16
  6. Step 6: Final answer
    x = 329.86

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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.