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Finding the Fourth Proportional to 429.75, 643.55 and 234.15

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Solution

The fourth proportional to 429.75, 643.55 and 234.15 is: 350.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.75 : 643.55 = 234.15 : x
  2. Step 2: Convert to fraction form
    429.75/643.55 = 234.15/x
  3. Step 3: Cross multiply
    429.75x = 643.55 × 234.15
  4. Step 4: Simplify right side
    429.75x = 150,686.06
  5. Step 5: Solve for x
    x = 150,686.06/429.75
  6. Step 6: Final answer
    x = 350.64

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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.