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Finding the Fourth Proportional to 255.63, 380.84 and 246.93

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Solution

The fourth proportional to 255.63, 380.84 and 246.93 is: 367.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.63 : 380.84 = 246.93 : x
  2. Step 2: Convert to fraction form
    255.63/380.84 = 246.93/x
  3. Step 3: Cross multiply
    255.63x = 380.84 × 246.93
  4. Step 4: Simplify right side
    255.63x = 94,041.44
  5. Step 5: Solve for x
    x = 94,041.44/255.63
  6. Step 6: Final answer
    x = 367.88

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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.