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Finding the Fourth Proportional to 324.37, 488.48 and 292.25

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Solution

The fourth proportional to 324.37, 488.48 and 292.25 is: 440.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.37 : 488.48 = 292.25 : x
  2. Step 2: Convert to fraction form
    324.37/488.48 = 292.25/x
  3. Step 3: Cross multiply
    324.37x = 488.48 × 292.25
  4. Step 4: Simplify right side
    324.37x = 142,758.28
  5. Step 5: Solve for x
    x = 142,758.28/324.37
  6. Step 6: Final answer
    x = 440.11

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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.