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Finding the Fourth Proportional to 248.90, 373.08 and 194.66

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Solution

The fourth proportional to 248.90, 373.08 and 194.66 is: 291.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.90 : 373.08 = 194.66 : x
  2. Step 2: Convert to fraction form
    248.90/373.08 = 194.66/x
  3. Step 3: Cross multiply
    248.90x = 373.08 × 194.66
  4. Step 4: Simplify right side
    248.90x = 72,623.75
  5. Step 5: Solve for x
    x = 72,623.75/248.90
  6. Step 6: Final answer
    x = 291.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.