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Finding the Fourth Proportional to 318.34, 435.41 and 313.30

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Solution

The fourth proportional to 318.34, 435.41 and 313.30 is: 428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.34 : 435.41 = 313.30 : x
  2. Step 2: Convert to fraction form
    318.34/435.41 = 313.30/x
  3. Step 3: Cross multiply
    318.34x = 435.41 × 313.30
  4. Step 4: Simplify right side
    318.34x = 136,412.39
  5. Step 5: Solve for x
    x = 136,412.39/318.34
  6. Step 6: Final answer
    x = 428.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.