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Finding the Fourth Proportional to 282.21, 388.17 and 238.47

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Solution

The fourth proportional to 282.21, 388.17 and 238.47 is: 328.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.21 : 388.17 = 238.47 : x
  2. Step 2: Convert to fraction form
    282.21/388.17 = 238.47/x
  3. Step 3: Cross multiply
    282.21x = 388.17 × 238.47
  4. Step 4: Simplify right side
    282.21x = 92,566.90
  5. Step 5: Solve for x
    x = 92,566.90/282.21
  6. Step 6: Final answer
    x = 328.01

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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.