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Finding the Fourth Proportional to 190.49, 259.34 and 187.25

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Solution

The fourth proportional to 190.49, 259.34 and 187.25 is: 254.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.49 : 259.34 = 187.25 : x
  2. Step 2: Convert to fraction form
    190.49/259.34 = 187.25/x
  3. Step 3: Cross multiply
    190.49x = 259.34 × 187.25
  4. Step 4: Simplify right side
    190.49x = 48,559.18
  5. Step 5: Solve for x
    x = 48,559.18/190.49
  6. Step 6: Final answer
    x = 254.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.