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Finding the Fourth Proportional to 190.51, 263.06 and 120.69

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Solution

The fourth proportional to 190.51, 263.06 and 120.69 is: 166.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.51 : 263.06 = 120.69 : x
  2. Step 2: Convert to fraction form
    190.51/263.06 = 120.69/x
  3. Step 3: Cross multiply
    190.51x = 263.06 × 120.69
  4. Step 4: Simplify right side
    190.51x = 31,748.71
  5. Step 5: Solve for x
    x = 31,748.71/190.51
  6. Step 6: Final answer
    x = 166.65

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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.