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Finding the Fourth Proportional to 200.74, 276.86 and 127.10

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Solution

The fourth proportional to 200.74, 276.86 and 127.10 is: 175.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.74 : 276.86 = 127.10 : x
  2. Step 2: Convert to fraction form
    200.74/276.86 = 127.10/x
  3. Step 3: Cross multiply
    200.74x = 276.86 × 127.10
  4. Step 4: Simplify right side
    200.74x = 35,188.91
  5. Step 5: Solve for x
    x = 35,188.91/200.74
  6. Step 6: Final answer
    x = 175.30

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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.