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Finding the Fourth Proportional to 429.85, 644.71 and 141.25

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Solution

The fourth proportional to 429.85, 644.71 and 141.25 is: 211.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.85 : 644.71 = 141.25 : x
  2. Step 2: Convert to fraction form
    429.85/644.71 = 141.25/x
  3. Step 3: Cross multiply
    429.85x = 644.71 × 141.25
  4. Step 4: Simplify right side
    429.85x = 91,065.29
  5. Step 5: Solve for x
    x = 91,065.29/429.85
  6. Step 6: Final answer
    x = 211.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.