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Finding the Fourth Proportional to 471.85, 706.74 and 240.33

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Solution

The fourth proportional to 471.85, 706.74 and 240.33 is: 359.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.85 : 706.74 = 240.33 : x
  2. Step 2: Convert to fraction form
    471.85/706.74 = 240.33/x
  3. Step 3: Cross multiply
    471.85x = 706.74 × 240.33
  4. Step 4: Simplify right side
    471.85x = 169,852.57
  5. Step 5: Solve for x
    x = 169,852.57/471.85
  6. Step 6: Final answer
    x = 359.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.