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Finding the Fourth Proportional to 190.28, 284.88 and 175.16

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Solution

The fourth proportional to 190.28, 284.88 and 175.16 is: 262.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.28 : 284.88 = 175.16 : x
  2. Step 2: Convert to fraction form
    190.28/284.88 = 175.16/x
  3. Step 3: Cross multiply
    190.28x = 284.88 × 175.16
  4. Step 4: Simplify right side
    190.28x = 49,899.58
  5. Step 5: Solve for x
    x = 49,899.58/190.28
  6. Step 6: Final answer
    x = 262.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.