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Finding the Fourth Proportional to 429.70, 643.99 and 195.26

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Solution

The fourth proportional to 429.70, 643.99 and 195.26 is: 292.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.70 : 643.99 = 195.26 : x
  2. Step 2: Convert to fraction form
    429.70/643.99 = 195.26/x
  3. Step 3: Cross multiply
    429.70x = 643.99 × 195.26
  4. Step 4: Simplify right side
    429.70x = 125,744.51
  5. Step 5: Solve for x
    x = 125,744.51/429.70
  6. Step 6: Final answer
    x = 292.63

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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.