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Finding the Fourth Proportional to 309.91, 425.56 and 277.15

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Solution

The fourth proportional to 309.91, 425.56 and 277.15 is: 380.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.91 : 425.56 = 277.15 : x
  2. Step 2: Convert to fraction form
    309.91/425.56 = 277.15/x
  3. Step 3: Cross multiply
    309.91x = 425.56 × 277.15
  4. Step 4: Simplify right side
    309.91x = 117,940.79
  5. Step 5: Solve for x
    x = 117,940.79/309.91
  6. Step 6: Final answer
    x = 380.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.