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Finding the Fourth Proportional to 248.69, 373.10 and 138.95

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Solution

The fourth proportional to 248.69, 373.10 and 138.95 is: 208.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.69 : 373.10 = 138.95 : x
  2. Step 2: Convert to fraction form
    248.69/373.10 = 138.95/x
  3. Step 3: Cross multiply
    248.69x = 373.10 × 138.95
  4. Step 4: Simplify right side
    248.69x = 51,839.68
  5. Step 5: Solve for x
    x = 51,839.68/248.69
  6. Step 6: Final answer
    x = 208.46

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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.