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Finding the Fourth Proportional to 233.82, 320.09 and 233.28

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Solution

The fourth proportional to 233.82, 320.09 and 233.28 is: 319.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.82 : 320.09 = 233.28 : x
  2. Step 2: Convert to fraction form
    233.82/320.09 = 233.28/x
  3. Step 3: Cross multiply
    233.82x = 320.09 × 233.28
  4. Step 4: Simplify right side
    233.82x = 74,669.43
  5. Step 5: Solve for x
    x = 74,669.43/233.82
  6. Step 6: Final answer
    x = 319.35

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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.