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Finding the Fourth Proportional to 190.64, 262.88 and 153.68

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Solution

The fourth proportional to 190.64, 262.88 and 153.68 is: 211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.64 : 262.88 = 153.68 : x
  2. Step 2: Convert to fraction form
    190.64/262.88 = 153.68/x
  3. Step 3: Cross multiply
    190.64x = 262.88 × 153.68
  4. Step 4: Simplify right side
    190.64x = 40,399.40
  5. Step 5: Solve for x
    x = 40,399.40/190.64
  6. Step 6: Final answer
    x = 211.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.