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Finding the Fourth Proportional to 324.54, 488.97 and 283.77

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Solution

The fourth proportional to 324.54, 488.97 and 283.77 is: 427.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.54 : 488.97 = 283.77 : x
  2. Step 2: Convert to fraction form
    324.54/488.97 = 283.77/x
  3. Step 3: Cross multiply
    324.54x = 488.97 × 283.77
  4. Step 4: Simplify right side
    324.54x = 138,755.02
  5. Step 5: Solve for x
    x = 138,755.02/324.54
  6. Step 6: Final answer
    x = 427.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.