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Finding the Fourth Proportional to 313.44, 432.48 and 226.56

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Solution

The fourth proportional to 313.44, 432.48 and 226.56 is: 312.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.44 : 432.48 = 226.56 : x
  2. Step 2: Convert to fraction form
    313.44/432.48 = 226.56/x
  3. Step 3: Cross multiply
    313.44x = 432.48 × 226.56
  4. Step 4: Simplify right side
    313.44x = 97,982.67
  5. Step 5: Solve for x
    x = 97,982.67/313.44
  6. Step 6: Final answer
    x = 312.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.