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Finding the Fourth Proportional to 282.93, 390.05 and 194.39

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Solution

The fourth proportional to 282.93, 390.05 and 194.39 is: 267.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.93 : 390.05 = 194.39 : x
  2. Step 2: Convert to fraction form
    282.93/390.05 = 194.39/x
  3. Step 3: Cross multiply
    282.93x = 390.05 × 194.39
  4. Step 4: Simplify right side
    282.93x = 75,821.09
  5. Step 5: Solve for x
    x = 75,821.09/282.93
  6. Step 6: Final answer
    x = 267.98

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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.