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Finding the Fourth Proportional to 318.50, 477.68 and 257.98

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Solution

The fourth proportional to 318.50, 477.68 and 257.98 is: 386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.50 : 477.68 = 257.98 : x
  2. Step 2: Convert to fraction form
    318.50/477.68 = 257.98/x
  3. Step 3: Cross multiply
    318.50x = 477.68 × 257.98
  4. Step 4: Simplify right side
    318.50x = 123,229.50
  5. Step 5: Solve for x
    x = 123,229.50/318.50
  6. Step 6: Final answer
    x = 386.91

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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.