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Finding the Fourth Proportional to 277.58, 416.27 and 113.00

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Solution

The fourth proportional to 277.58, 416.27 and 113.00 is: 169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.58 : 416.27 = 113.00 : x
  2. Step 2: Convert to fraction form
    277.58/416.27 = 113.00/x
  3. Step 3: Cross multiply
    277.58x = 416.27 × 113.00
  4. Step 4: Simplify right side
    277.58x = 47,039.83
  5. Step 5: Solve for x
    x = 47,039.83/277.58
  6. Step 6: Final answer
    x = 169.47

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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.