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Finding the Fourth Proportional to 324.10, 446.95 and 277.63

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Solution

The fourth proportional to 324.10, 446.95 and 277.63 is: 382.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.10 : 446.95 = 277.63 : x
  2. Step 2: Convert to fraction form
    324.10/446.95 = 277.63/x
  3. Step 3: Cross multiply
    324.10x = 446.95 × 277.63
  4. Step 4: Simplify right side
    324.10x = 124,085.96
  5. Step 5: Solve for x
    x = 124,085.96/324.10
  6. Step 6: Final answer
    x = 382.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.