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Finding the Fourth Proportional to 277.76, 416.62 and 85.38

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Solution

The fourth proportional to 277.76, 416.62 and 85.38 is: 128.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.76 : 416.62 = 85.38 : x
  2. Step 2: Convert to fraction form
    277.76/416.62 = 85.38/x
  3. Step 3: Cross multiply
    277.76x = 416.62 × 85.38
  4. Step 4: Simplify right side
    277.76x = 35,571.02
  5. Step 5: Solve for x
    x = 35,571.02/277.76
  6. Step 6: Final answer
    x = 128.06

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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.