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Finding the Fourth Proportional to 279, 385.16 and 201.51

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Solution

The fourth proportional to 279, 385.16 and 201.51 is: 278.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    279 : 385.16 = 201.51 : x
  2. Step 2: Convert to fraction form
    279/385.16 = 201.51/x
  3. Step 3: Cross multiply
    279x = 385.16 × 201.51
  4. Step 4: Simplify right side
    279x = 77,612.58
  5. Step 5: Solve for x
    x = 77,612.58/279
  6. Step 6: Final answer
    x = 278.18

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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.