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Finding the Fourth Proportional to 430.30, 643.83 and 327.43

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Solution

The fourth proportional to 430.30, 643.83 and 327.43 is: 489.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.30 : 643.83 = 327.43 : x
  2. Step 2: Convert to fraction form
    430.30/643.83 = 327.43/x
  3. Step 3: Cross multiply
    430.30x = 643.83 × 327.43
  4. Step 4: Simplify right side
    430.30x = 210,809.26
  5. Step 5: Solve for x
    x = 210,809.26/430.30
  6. Step 6: Final answer
    x = 489.91

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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.