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Finding the Fourth Proportional to 190.65, 263.05 and 175.92

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Solution

The fourth proportional to 190.65, 263.05 and 175.92 is: 242.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.65 : 263.05 = 175.92 : x
  2. Step 2: Convert to fraction form
    190.65/263.05 = 175.92/x
  3. Step 3: Cross multiply
    190.65x = 263.05 × 175.92
  4. Step 4: Simplify right side
    190.65x = 46,275.81
  5. Step 5: Solve for x
    x = 46,275.81/190.65
  6. Step 6: Final answer
    x = 242.72

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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.