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Finding the Fourth Proportional to 231.86, 345.51 and 225.26

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Solution

The fourth proportional to 231.86, 345.51 and 225.26 is: 335.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.86 : 345.51 = 225.26 : x
  2. Step 2: Convert to fraction form
    231.86/345.51 = 225.26/x
  3. Step 3: Cross multiply
    231.86x = 345.51 × 225.26
  4. Step 4: Simplify right side
    231.86x = 77,829.58
  5. Step 5: Solve for x
    x = 77,829.58/231.86
  6. Step 6: Final answer
    x = 335.67

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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.