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Finding the Fourth Proportional to 254.75, 381.78 and 117.65

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Solution

The fourth proportional to 254.75, 381.78 and 117.65 is: 176.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.75 : 381.78 = 117.65 : x
  2. Step 2: Convert to fraction form
    254.75/381.78 = 117.65/x
  3. Step 3: Cross multiply
    254.75x = 381.78 × 117.65
  4. Step 4: Simplify right side
    254.75x = 44,917.37
  5. Step 5: Solve for x
    x = 44,917.37/254.75
  6. Step 6: Final answer
    x = 176.32

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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.