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Finding the Fourth Proportional to 324.30, 488.34 and 233.63

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Solution

The fourth proportional to 324.30, 488.34 and 233.63 is: 351.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.30 : 488.34 = 233.63 : x
  2. Step 2: Convert to fraction form
    324.30/488.34 = 233.63/x
  3. Step 3: Cross multiply
    324.30x = 488.34 × 233.63
  4. Step 4: Simplify right side
    324.30x = 114,088.43
  5. Step 5: Solve for x
    x = 114,088.43/324.30
  6. Step 6: Final answer
    x = 351.80

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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.