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Finding the Fourth Proportional to 307.82, 424.67 and 189.77

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Solution

The fourth proportional to 307.82, 424.67 and 189.77 is: 261.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.82 : 424.67 = 189.77 : x
  2. Step 2: Convert to fraction form
    307.82/424.67 = 189.77/x
  3. Step 3: Cross multiply
    307.82x = 424.67 × 189.77
  4. Step 4: Simplify right side
    307.82x = 80,586.55
  5. Step 5: Solve for x
    x = 80,586.55/307.82
  6. Step 6: Final answer
    x = 261.80

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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.