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Finding the Fourth Proportional to 279.51, 416.87 and 270.41

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Solution

The fourth proportional to 279.51, 416.87 and 270.41 is: 403.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.51 : 416.87 = 270.41 : x
  2. Step 2: Convert to fraction form
    279.51/416.87 = 270.41/x
  3. Step 3: Cross multiply
    279.51x = 416.87 × 270.41
  4. Step 4: Simplify right side
    279.51x = 112,722.38
  5. Step 5: Solve for x
    x = 112,722.38/279.51
  6. Step 6: Final answer
    x = 403.29

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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.