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Finding the Fourth Proportional to 429.16, 592.38 and 254.44

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Solution

The fourth proportional to 429.16, 592.38 and 254.44 is: 351.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.16 : 592.38 = 254.44 : x
  2. Step 2: Convert to fraction form
    429.16/592.38 = 254.44/x
  3. Step 3: Cross multiply
    429.16x = 592.38 × 254.44
  4. Step 4: Simplify right side
    429.16x = 150,725.17
  5. Step 5: Solve for x
    x = 150,725.17/429.16
  6. Step 6: Final answer
    x = 351.21

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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.