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Finding the Fourth Proportional to 367.05, 547.92 and 339.95

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Solution

The fourth proportional to 367.05, 547.92 and 339.95 is: 507.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.05 : 547.92 = 339.95 : x
  2. Step 2: Convert to fraction form
    367.05/547.92 = 339.95/x
  3. Step 3: Cross multiply
    367.05x = 547.92 × 339.95
  4. Step 4: Simplify right side
    367.05x = 186,266.77
  5. Step 5: Solve for x
    x = 186,266.77/367.05
  6. Step 6: Final answer
    x = 507.46

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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.