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Finding the Fourth Proportional to 367.40, 548.46 and 354.57

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Solution

The fourth proportional to 367.40, 548.46 and 354.57 is: 529.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.40 : 548.46 = 354.57 : x
  2. Step 2: Convert to fraction form
    367.40/548.46 = 354.57/x
  3. Step 3: Cross multiply
    367.40x = 548.46 × 354.57
  4. Step 4: Simplify right side
    367.40x = 194,468.79
  5. Step 5: Solve for x
    x = 194,468.79/367.40
  6. Step 6: Final answer
    x = 529.32

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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.