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Finding the Fourth Proportional to 190.77, 264.71 and 183.06

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Solution

The fourth proportional to 190.77, 264.71 and 183.06 is: 254.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.77 : 264.71 = 183.06 : x
  2. Step 2: Convert to fraction form
    190.77/264.71 = 183.06/x
  3. Step 3: Cross multiply
    190.77x = 264.71 × 183.06
  4. Step 4: Simplify right side
    190.77x = 48,458.08
  5. Step 5: Solve for x
    x = 48,458.08/190.77
  6. Step 6: Final answer
    x = 254.01

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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.