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Finding the Fourth Proportional to 230.06, 347.03 and 222.77

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Solution

The fourth proportional to 230.06, 347.03 and 222.77 is: 336.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.06 : 347.03 = 222.77 : x
  2. Step 2: Convert to fraction form
    230.06/347.03 = 222.77/x
  3. Step 3: Cross multiply
    230.06x = 347.03 × 222.77
  4. Step 4: Simplify right side
    230.06x = 77,305.02
  5. Step 5: Solve for x
    x = 77,305.02/230.06
  6. Step 6: Final answer
    x = 336.03

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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.