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Finding the Fourth Proportional to 367.20, 548.13 and 340.50

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Solution

The fourth proportional to 367.20, 548.13 and 340.50 is: 508.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.20 : 548.13 = 340.50 : x
  2. Step 2: Convert to fraction form
    367.20/548.13 = 340.50/x
  3. Step 3: Cross multiply
    367.20x = 548.13 × 340.50
  4. Step 4: Simplify right side
    367.20x = 186,638.27
  5. Step 5: Solve for x
    x = 186,638.27/367.20
  6. Step 6: Final answer
    x = 508.27

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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.