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Finding the Fourth Proportional to 190, 283.46 and 171.78

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Solution

The fourth proportional to 190, 283.46 and 171.78 is: 256.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    190 : 283.46 = 171.78 : x
  2. Step 2: Convert to fraction form
    190/283.46 = 171.78/x
  3. Step 3: Cross multiply
    190x = 283.46 × 171.78
  4. Step 4: Simplify right side
    190x = 48,692.76
  5. Step 5: Solve for x
    x = 48,692.76/190
  6. Step 6: Final answer
    x = 256.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.