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Finding the Fourth Proportional to 287.08, 395.08 and 274.78

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Solution

The fourth proportional to 287.08, 395.08 and 274.78 is: 378.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.08 : 395.08 = 274.78 : x
  2. Step 2: Convert to fraction form
    287.08/395.08 = 274.78/x
  3. Step 3: Cross multiply
    287.08x = 395.08 × 274.78
  4. Step 4: Simplify right side
    287.08x = 108,560.08
  5. Step 5: Solve for x
    x = 108,560.08/287.08
  6. Step 6: Final answer
    x = 378.15

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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.