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Finding the Fourth Proportional to 324.49, 488.49 and 291

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Solution

The fourth proportional to 324.49, 488.49 and 291 is: 438.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.49 : 488.49 = 291 : x
  2. Step 2: Convert to fraction form
    324.49/488.49 = 291/x
  3. Step 3: Cross multiply
    324.49x = 488.49 × 291
  4. Step 4: Simplify right side
    324.49x = 142,150.59
  5. Step 5: Solve for x
    x = 142,150.59/324.49
  6. Step 6: Final answer
    x = 438.08

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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.