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Finding the Fourth Proportional to 281.41, 388.00 and 188.01

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Solution

The fourth proportional to 281.41, 388.00 and 188.01 is: 259.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.41 : 388.00 = 188.01 : x
  2. Step 2: Convert to fraction form
    281.41/388.00 = 188.01/x
  3. Step 3: Cross multiply
    281.41x = 388.00 × 188.01
  4. Step 4: Simplify right side
    281.41x = 72,948.12
  5. Step 5: Solve for x
    x = 72,948.12/281.41
  6. Step 6: Final answer
    x = 259.23

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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.