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Finding the Fourth Proportional to 240.66, 329.45 and 233.28

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Solution

The fourth proportional to 240.66, 329.45 and 233.28 is: 319.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.66 : 329.45 = 233.28 : x
  2. Step 2: Convert to fraction form
    240.66/329.45 = 233.28/x
  3. Step 3: Cross multiply
    240.66x = 329.45 × 233.28
  4. Step 4: Simplify right side
    240.66x = 76,852.93
  5. Step 5: Solve for x
    x = 76,852.93/240.66
  6. Step 6: Final answer
    x = 319.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.