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Finding the Fourth Proportional to 279.96, 388.01 and 275.80

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Solution

The fourth proportional to 279.96, 388.01 and 275.80 is: 382.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.96 : 388.01 = 275.80 : x
  2. Step 2: Convert to fraction form
    279.96/388.01 = 275.80/x
  3. Step 3: Cross multiply
    279.96x = 388.01 × 275.80
  4. Step 4: Simplify right side
    279.96x = 107,013.16
  5. Step 5: Solve for x
    x = 107,013.16/279.96
  6. Step 6: Final answer
    x = 382.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.