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Finding the Fourth Proportional to 248.20, 373.98 and 205.81

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Solution

The fourth proportional to 248.20, 373.98 and 205.81 is: 310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.20 : 373.98 = 205.81 : x
  2. Step 2: Convert to fraction form
    248.20/373.98 = 205.81/x
  3. Step 3: Cross multiply
    248.20x = 373.98 × 205.81
  4. Step 4: Simplify right side
    248.20x = 76,968.82
  5. Step 5: Solve for x
    x = 76,968.82/248.20
  6. Step 6: Final answer
    x = 310.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.