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Finding the Fourth Proportional to 429.96, 644.98 and 137.47

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Solution

The fourth proportional to 429.96, 644.98 and 137.47 is: 206.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.96 : 644.98 = 137.47 : x
  2. Step 2: Convert to fraction form
    429.96/644.98 = 137.47/x
  3. Step 3: Cross multiply
    429.96x = 644.98 × 137.47
  4. Step 4: Simplify right side
    429.96x = 88,662.06
  5. Step 5: Solve for x
    x = 88,662.06/429.96
  6. Step 6: Final answer
    x = 206.21

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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.