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Finding the Fourth Proportional to 245.32, 369.78 and 231.21

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Solution

The fourth proportional to 245.32, 369.78 and 231.21 is: 348.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.32 : 369.78 = 231.21 : x
  2. Step 2: Convert to fraction form
    245.32/369.78 = 231.21/x
  3. Step 3: Cross multiply
    245.32x = 369.78 × 231.21
  4. Step 4: Simplify right side
    245.32x = 85,496.83
  5. Step 5: Solve for x
    x = 85,496.83/245.32
  6. Step 6: Final answer
    x = 348.51

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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.