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Finding the Fourth Proportional to 313.94, 433.24 and 174.06

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Solution

The fourth proportional to 313.94, 433.24 and 174.06 is: 240.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.94 : 433.24 = 174.06 : x
  2. Step 2: Convert to fraction form
    313.94/433.24 = 174.06/x
  3. Step 3: Cross multiply
    313.94x = 433.24 × 174.06
  4. Step 4: Simplify right side
    313.94x = 75,409.32
  5. Step 5: Solve for x
    x = 75,409.32/313.94
  6. Step 6: Final answer
    x = 240.20

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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.