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Finding the Fourth Proportional to 318.45, 476.74 and 257.70

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Solution

The fourth proportional to 318.45, 476.74 and 257.70 is: 385.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.45 : 476.74 = 257.70 : x
  2. Step 2: Convert to fraction form
    318.45/476.74 = 257.70/x
  3. Step 3: Cross multiply
    318.45x = 476.74 × 257.70
  4. Step 4: Simplify right side
    318.45x = 122,855.90
  5. Step 5: Solve for x
    x = 122,855.90/318.45
  6. Step 6: Final answer
    x = 385.79

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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.