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Finding the Fourth Proportional to 432.45, 596.78 and 257.79

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Solution

The fourth proportional to 432.45, 596.78 and 257.79 is: 355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.45 : 596.78 = 257.79 : x
  2. Step 2: Convert to fraction form
    432.45/596.78 = 257.79/x
  3. Step 3: Cross multiply
    432.45x = 596.78 × 257.79
  4. Step 4: Simplify right side
    432.45x = 153,843.92
  5. Step 5: Solve for x
    x = 153,843.92/432.45
  6. Step 6: Final answer
    x = 355.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.