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Finding the Fourth Proportional to 432.75, 648.60 and 259.05

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Solution

The fourth proportional to 432.75, 648.60 and 259.05 is: 388.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.75 : 648.60 = 259.05 : x
  2. Step 2: Convert to fraction form
    432.75/648.60 = 259.05/x
  3. Step 3: Cross multiply
    432.75x = 648.60 × 259.05
  4. Step 4: Simplify right side
    432.75x = 168,019.83
  5. Step 5: Solve for x
    x = 168,019.83/432.75
  6. Step 6: Final answer
    x = 388.26

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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.