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Finding the Fourth Proportional to 286.94, 397.95 and 269.12

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Solution

The fourth proportional to 286.94, 397.95 and 269.12 is: 373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.94 : 397.95 = 269.12 : x
  2. Step 2: Convert to fraction form
    286.94/397.95 = 269.12/x
  3. Step 3: Cross multiply
    286.94x = 397.95 × 269.12
  4. Step 4: Simplify right side
    286.94x = 107,094.96
  5. Step 5: Solve for x
    x = 107,094.96/286.94
  6. Step 6: Final answer
    x = 373.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.