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Finding the Fourth Proportional to 324.29, 445.35 and 277.67

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Solution

The fourth proportional to 324.29, 445.35 and 277.67 is: 381.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.29 : 445.35 = 277.67 : x
  2. Step 2: Convert to fraction form
    324.29/445.35 = 277.67/x
  3. Step 3: Cross multiply
    324.29x = 445.35 × 277.67
  4. Step 4: Simplify right side
    324.29x = 123,656.72
  5. Step 5: Solve for x
    x = 123,656.72/324.29
  6. Step 6: Final answer
    x = 381.32

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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.