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Finding the Fourth Proportional to 282.35, 388.98 and 199.32

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Solution

The fourth proportional to 282.35, 388.98 and 199.32 is: 274.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.35 : 388.98 = 199.32 : x
  2. Step 2: Convert to fraction form
    282.35/388.98 = 199.32/x
  3. Step 3: Cross multiply
    282.35x = 388.98 × 199.32
  4. Step 4: Simplify right side
    282.35x = 77,531.49
  5. Step 5: Solve for x
    x = 77,531.49/282.35
  6. Step 6: Final answer
    x = 274.60

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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.