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Finding the Fourth Proportional to 248.40, 372.06 and 193.86

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Solution

The fourth proportional to 248.40, 372.06 and 193.86 is: 290.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.40 : 372.06 = 193.86 : x
  2. Step 2: Convert to fraction form
    248.40/372.06 = 193.86/x
  3. Step 3: Cross multiply
    248.40x = 372.06 × 193.86
  4. Step 4: Simplify right side
    248.40x = 72,127.55
  5. Step 5: Solve for x
    x = 72,127.55/248.40
  6. Step 6: Final answer
    x = 290.37

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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.