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Finding the Fourth Proportional to 286.95, 395.46 and 270.75

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Solution

The fourth proportional to 286.95, 395.46 and 270.75 is: 373.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.95 : 395.46 = 270.75 : x
  2. Step 2: Convert to fraction form
    286.95/395.46 = 270.75/x
  3. Step 3: Cross multiply
    286.95x = 395.46 × 270.75
  4. Step 4: Simplify right side
    286.95x = 107,070.80
  5. Step 5: Solve for x
    x = 107,070.80/286.95
  6. Step 6: Final answer
    x = 373.13

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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.