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Finding the Fourth Proportional to 368.70, 506.78 and 324.78

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Solution

The fourth proportional to 368.70, 506.78 and 324.78 is: 446.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.70 : 506.78 = 324.78 : x
  2. Step 2: Convert to fraction form
    368.70/506.78 = 324.78/x
  3. Step 3: Cross multiply
    368.70x = 506.78 × 324.78
  4. Step 4: Simplify right side
    368.70x = 164,590.38
  5. Step 5: Solve for x
    x = 164,590.38/368.70
  6. Step 6: Final answer
    x = 446.41

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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.