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Finding the Fourth Proportional to 367.05, 546.89 and 346.09

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Solution

The fourth proportional to 367.05, 546.89 and 346.09 is: 515.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.05 : 546.89 = 346.09 : x
  2. Step 2: Convert to fraction form
    367.05/546.89 = 346.09/x
  3. Step 3: Cross multiply
    367.05x = 546.89 × 346.09
  4. Step 4: Simplify right side
    367.05x = 189,273.16
  5. Step 5: Solve for x
    x = 189,273.16/367.05
  6. Step 6: Final answer
    x = 515.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.