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Finding the Fourth Proportional to 231.41, 345.76 and 223.34

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Solution

The fourth proportional to 231.41, 345.76 and 223.34 is: 333.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.41 : 345.76 = 223.34 : x
  2. Step 2: Convert to fraction form
    231.41/345.76 = 223.34/x
  3. Step 3: Cross multiply
    231.41x = 345.76 × 223.34
  4. Step 4: Simplify right side
    231.41x = 77,222.04
  5. Step 5: Solve for x
    x = 77,222.04/231.41
  6. Step 6: Final answer
    x = 333.70

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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.