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Finding the Fourth Proportional to 190.35, 283.84 and 174.15

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Solution

The fourth proportional to 190.35, 283.84 and 174.15 is: 259.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.35 : 283.84 = 174.15 : x
  2. Step 2: Convert to fraction form
    190.35/283.84 = 174.15/x
  3. Step 3: Cross multiply
    190.35x = 283.84 × 174.15
  4. Step 4: Simplify right side
    190.35x = 49,430.30
  5. Step 5: Solve for x
    x = 49,430.30/190.35
  6. Step 6: Final answer
    x = 259.68

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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.