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Finding the Fourth Proportional to 447.45, 617.51 and 248.31

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Solution

The fourth proportional to 447.45, 617.51 and 248.31 is: 342.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.45 : 617.51 = 248.31 : x
  2. Step 2: Convert to fraction form
    447.45/617.51 = 248.31/x
  3. Step 3: Cross multiply
    447.45x = 617.51 × 248.31
  4. Step 4: Simplify right side
    447.45x = 153,329.58
  5. Step 5: Solve for x
    x = 153,329.58/447.45
  6. Step 6: Final answer
    x = 342.67

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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.