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Finding the Fourth Proportional to 318.46, 441.34 and 314.06

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Solution

The fourth proportional to 318.46, 441.34 and 314.06 is: 435.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.46 : 441.34 = 314.06 : x
  2. Step 2: Convert to fraction form
    318.46/441.34 = 314.06/x
  3. Step 3: Cross multiply
    318.46x = 441.34 × 314.06
  4. Step 4: Simplify right side
    318.46x = 138,607.24
  5. Step 5: Solve for x
    x = 138,607.24/318.46
  6. Step 6: Final answer
    x = 435.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.