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Finding the Fourth Proportional to 324.98, 487.58 and 160.51

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Solution

The fourth proportional to 324.98, 487.58 and 160.51 is: 240.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.98 : 487.58 = 160.51 : x
  2. Step 2: Convert to fraction form
    324.98/487.58 = 160.51/x
  3. Step 3: Cross multiply
    324.98x = 487.58 × 160.51
  4. Step 4: Simplify right side
    324.98x = 78,259.44
  5. Step 5: Solve for x
    x = 78,259.44/324.98
  6. Step 6: Final answer
    x = 240.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.