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Finding the Fourth Proportional to 471.67, 707.08 and 240.43

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Solution

The fourth proportional to 471.67, 707.08 and 240.43 is: 360.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.67 : 707.08 = 240.43 : x
  2. Step 2: Convert to fraction form
    471.67/707.08 = 240.43/x
  3. Step 3: Cross multiply
    471.67x = 707.08 × 240.43
  4. Step 4: Simplify right side
    471.67x = 170,003.24
  5. Step 5: Solve for x
    x = 170,003.24/471.67
  6. Step 6: Final answer
    x = 360.43

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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.