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Finding the Fourth Proportional to 279.27, 416.61 and 238.41

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Solution

The fourth proportional to 279.27, 416.61 and 238.41 is: 355.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.27 : 416.61 = 238.41 : x
  2. Step 2: Convert to fraction form
    279.27/416.61 = 238.41/x
  3. Step 3: Cross multiply
    279.27x = 416.61 × 238.41
  4. Step 4: Simplify right side
    279.27x = 99,323.99
  5. Step 5: Solve for x
    x = 99,323.99/279.27
  6. Step 6: Final answer
    x = 355.66

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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.