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Finding the Fourth Proportional to 277.80, 416.71 and 72.39

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Solution

The fourth proportional to 277.80, 416.71 and 72.39 is: 108.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.80 : 416.71 = 72.39 : x
  2. Step 2: Convert to fraction form
    277.80/416.71 = 72.39/x
  3. Step 3: Cross multiply
    277.80x = 416.71 × 72.39
  4. Step 4: Simplify right side
    277.80x = 30,164.95
  5. Step 5: Solve for x
    x = 30,164.95/277.80
  6. Step 6: Final answer
    x = 108.59

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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.