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Finding the Fourth Proportional to 277.10, 414.66 and 233.80

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Solution

The fourth proportional to 277.10, 414.66 and 233.80 is: 349.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.10 : 414.66 = 233.80 : x
  2. Step 2: Convert to fraction form
    277.10/414.66 = 233.80/x
  3. Step 3: Cross multiply
    277.10x = 414.66 × 233.80
  4. Step 4: Simplify right side
    277.10x = 96,947.51
  5. Step 5: Solve for x
    x = 96,947.51/277.10
  6. Step 6: Final answer
    x = 349.86

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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.