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Finding the Fourth Proportional to 307.78, 461.40 and 170.74

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Solution

The fourth proportional to 307.78, 461.40 and 170.74 is: 255.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.78 : 461.40 = 170.74 : x
  2. Step 2: Convert to fraction form
    307.78/461.40 = 170.74/x
  3. Step 3: Cross multiply
    307.78x = 461.40 × 170.74
  4. Step 4: Simplify right side
    307.78x = 78,779.44
  5. Step 5: Solve for x
    x = 78,779.44/307.78
  6. Step 6: Final answer
    x = 255.96

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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.