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Finding the Fourth Proportional to 247.77, 341.64 and 201.00

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Solution

The fourth proportional to 247.77, 341.64 and 201.00 is: 277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.77 : 341.64 = 201.00 : x
  2. Step 2: Convert to fraction form
    247.77/341.64 = 201.00/x
  3. Step 3: Cross multiply
    247.77x = 341.64 × 201.00
  4. Step 4: Simplify right side
    247.77x = 68,668.43
  5. Step 5: Solve for x
    x = 68,668.43/247.77
  6. Step 6: Final answer
    x = 277.15

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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.