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Finding the Fourth Proportional to 318.36, 476.46 and 257.64

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Solution

The fourth proportional to 318.36, 476.46 and 257.64 is: 385.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.36 : 476.46 = 257.64 : x
  2. Step 2: Convert to fraction form
    318.36/476.46 = 257.64/x
  3. Step 3: Cross multiply
    318.36x = 476.46 × 257.64
  4. Step 4: Simplify right side
    318.36x = 122,755.15
  5. Step 5: Solve for x
    x = 122,755.15/318.36
  6. Step 6: Final answer
    x = 385.59

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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.