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Finding the Fourth Proportional to 429.24, 640.75 and 367.27

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Solution

The fourth proportional to 429.24, 640.75 and 367.27 is: 548.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.24 : 640.75 = 367.27 : x
  2. Step 2: Convert to fraction form
    429.24/640.75 = 367.27/x
  3. Step 3: Cross multiply
    429.24x = 640.75 × 367.27
  4. Step 4: Simplify right side
    429.24x = 235,328.25
  5. Step 5: Solve for x
    x = 235,328.25/429.24
  6. Step 6: Final answer
    x = 548.24

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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.