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Finding the Fourth Proportional to 190.60, 264.13 and 186.95

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Solution

The fourth proportional to 190.60, 264.13 and 186.95 is: 259.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.60 : 264.13 = 186.95 : x
  2. Step 2: Convert to fraction form
    190.60/264.13 = 186.95/x
  3. Step 3: Cross multiply
    190.60x = 264.13 × 186.95
  4. Step 4: Simplify right side
    190.60x = 49,379.10
  5. Step 5: Solve for x
    x = 49,379.10/190.60
  6. Step 6: Final answer
    x = 259.07

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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.