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Finding the Fourth Proportional to 281.63, 388.83 and 176.77

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Solution

The fourth proportional to 281.63, 388.83 and 176.77 is: 244.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.63 : 388.83 = 176.77 : x
  2. Step 2: Convert to fraction form
    281.63/388.83 = 176.77/x
  3. Step 3: Cross multiply
    281.63x = 388.83 × 176.77
  4. Step 4: Simplify right side
    281.63x = 68,733.48
  5. Step 5: Solve for x
    x = 68,733.48/281.63
  6. Step 6: Final answer
    x = 244.06

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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.