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Finding the Fourth Proportional to 313.11, 432.09 and 173.22

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Solution

The fourth proportional to 313.11, 432.09 and 173.22 is: 239.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.11 : 432.09 = 173.22 : x
  2. Step 2: Convert to fraction form
    313.11/432.09 = 173.22/x
  3. Step 3: Cross multiply
    313.11x = 432.09 × 173.22
  4. Step 4: Simplify right side
    313.11x = 74,846.63
  5. Step 5: Solve for x
    x = 74,846.63/313.11
  6. Step 6: Final answer
    x = 239.04

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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.