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Finding the Fourth Proportional to 287.04, 395.19 and 199.56

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Solution

The fourth proportional to 287.04, 395.19 and 199.56 is: 274.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.04 : 395.19 = 199.56 : x
  2. Step 2: Convert to fraction form
    287.04/395.19 = 199.56/x
  3. Step 3: Cross multiply
    287.04x = 395.19 × 199.56
  4. Step 4: Simplify right side
    287.04x = 78,864.12
  5. Step 5: Solve for x
    x = 78,864.12/287.04
  6. Step 6: Final answer
    x = 274.75

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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.