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Finding the Fourth Proportional to 277.85, 416.78 and 113.39

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Solution

The fourth proportional to 277.85, 416.78 and 113.39 is: 170.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.85 : 416.78 = 113.39 : x
  2. Step 2: Convert to fraction form
    277.85/416.78 = 113.39/x
  3. Step 3: Cross multiply
    277.85x = 416.78 × 113.39
  4. Step 4: Simplify right side
    277.85x = 47,258.12
  5. Step 5: Solve for x
    x = 47,258.12/277.85
  6. Step 6: Final answer
    x = 170.08

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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.