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Finding the Fourth Proportional to 233.06, 350.89 and 161.40

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Solution

The fourth proportional to 233.06, 350.89 and 161.40 is: 243.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.06 : 350.89 = 161.40 : x
  2. Step 2: Convert to fraction form
    233.06/350.89 = 161.40/x
  3. Step 3: Cross multiply
    233.06x = 350.89 × 161.40
  4. Step 4: Simplify right side
    233.06x = 56,633.65
  5. Step 5: Solve for x
    x = 56,633.65/233.06
  6. Step 6: Final answer
    x = 243.00

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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.