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Finding the Fourth Proportional to 233.03, 347.64 and 192.33

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Solution

The fourth proportional to 233.03, 347.64 and 192.33 is: 286.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.03 : 347.64 = 192.33 : x
  2. Step 2: Convert to fraction form
    233.03/347.64 = 192.33/x
  3. Step 3: Cross multiply
    233.03x = 347.64 × 192.33
  4. Step 4: Simplify right side
    233.03x = 66,861.60
  5. Step 5: Solve for x
    x = 66,861.60/233.03
  6. Step 6: Final answer
    x = 286.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.