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Finding the Fourth Proportional to 307.78, 424.74 and 167.90

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Solution

The fourth proportional to 307.78, 424.74 and 167.90 is: 231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.78 : 424.74 = 167.90 : x
  2. Step 2: Convert to fraction form
    307.78/424.74 = 167.90/x
  3. Step 3: Cross multiply
    307.78x = 424.74 × 167.90
  4. Step 4: Simplify right side
    307.78x = 71,311.72
  5. Step 5: Solve for x
    x = 71,311.72/307.78
  6. Step 6: Final answer
    x = 231.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.