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Finding the Fourth Proportional to 313.22, 432.82 and 248.24

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Solution

The fourth proportional to 313.22, 432.82 and 248.24 is: 343.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.22 : 432.82 = 248.24 : x
  2. Step 2: Convert to fraction form
    313.22/432.82 = 248.24/x
  3. Step 3: Cross multiply
    313.22x = 432.82 × 248.24
  4. Step 4: Simplify right side
    313.22x = 107,443.24
  5. Step 5: Solve for x
    x = 107,443.24/313.22
  6. Step 6: Final answer
    x = 343.03

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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.