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Finding the Fourth Proportional to 277.61, 414.14 and 248.22

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Solution

The fourth proportional to 277.61, 414.14 and 248.22 is: 370.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.61 : 414.14 = 248.22 : x
  2. Step 2: Convert to fraction form
    277.61/414.14 = 248.22/x
  3. Step 3: Cross multiply
    277.61x = 414.14 × 248.22
  4. Step 4: Simplify right side
    277.61x = 102,796.59
  5. Step 5: Solve for x
    x = 102,796.59/277.61
  6. Step 6: Final answer
    x = 370.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.