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Finding the Fourth Proportional to 285.88, 393.60 and 198.40

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Solution

The fourth proportional to 285.88, 393.60 and 198.40 is: 273.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.88 : 393.60 = 198.40 : x
  2. Step 2: Convert to fraction form
    285.88/393.60 = 198.40/x
  3. Step 3: Cross multiply
    285.88x = 393.60 × 198.40
  4. Step 4: Simplify right side
    285.88x = 78,090.24
  5. Step 5: Solve for x
    x = 78,090.24/285.88
  6. Step 6: Final answer
    x = 273.16

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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.