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Finding the Fourth Proportional to 190.68, 284.99 and 175.30

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Solution

The fourth proportional to 190.68, 284.99 and 175.30 is: 262.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.68 : 284.99 = 175.30 : x
  2. Step 2: Convert to fraction form
    190.68/284.99 = 175.30/x
  3. Step 3: Cross multiply
    190.68x = 284.99 × 175.30
  4. Step 4: Simplify right side
    190.68x = 49,959.84
  5. Step 5: Solve for x
    x = 49,959.84/190.68
  6. Step 6: Final answer
    x = 262.01

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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.