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Finding the Fourth Proportional to 429.37, 643.51 and 231.22

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Solution

The fourth proportional to 429.37, 643.51 and 231.22 is: 346.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.37 : 643.51 = 231.22 : x
  2. Step 2: Convert to fraction form
    429.37/643.51 = 231.22/x
  3. Step 3: Cross multiply
    429.37x = 643.51 × 231.22
  4. Step 4: Simplify right side
    429.37x = 148,792.38
  5. Step 5: Solve for x
    x = 148,792.38/429.37
  6. Step 6: Final answer
    x = 346.54

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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.