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Finding the Fourth Proportional to 185.94, 276.64 and 185.30

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Solution

The fourth proportional to 185.94, 276.64 and 185.30 is: 275.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.94 : 276.64 = 185.30 : x
  2. Step 2: Convert to fraction form
    185.94/276.64 = 185.30/x
  3. Step 3: Cross multiply
    185.94x = 276.64 × 185.30
  4. Step 4: Simplify right side
    185.94x = 51,261.39
  5. Step 5: Solve for x
    x = 51,261.39/185.94
  6. Step 6: Final answer
    x = 275.69

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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.