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Finding the Fourth Proportional to 281.41, 388.35 and 164.93

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Solution

The fourth proportional to 281.41, 388.35 and 164.93 is: 227.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.41 : 388.35 = 164.93 : x
  2. Step 2: Convert to fraction form
    281.41/388.35 = 164.93/x
  3. Step 3: Cross multiply
    281.41x = 388.35 × 164.93
  4. Step 4: Simplify right side
    281.41x = 64,049.74
  5. Step 5: Solve for x
    x = 64,049.74/281.41
  6. Step 6: Final answer
    x = 227.60

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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.