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Finding the Fourth Proportional to 429.24, 591.92 and 367.28

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Solution

The fourth proportional to 429.24, 591.92 and 367.28 is: 506.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.24 : 591.92 = 367.28 : x
  2. Step 2: Convert to fraction form
    429.24/591.92 = 367.28/x
  3. Step 3: Cross multiply
    429.24x = 591.92 × 367.28
  4. Step 4: Simplify right side
    429.24x = 217,395.58
  5. Step 5: Solve for x
    x = 217,395.58/429.24
  6. Step 6: Final answer
    x = 506.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.