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Finding the Fourth Proportional to 432.46, 596.64 and 275.20

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Solution

The fourth proportional to 432.46, 596.64 and 275.20 is: 379.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.46 : 596.64 = 275.20 : x
  2. Step 2: Convert to fraction form
    432.46/596.64 = 275.20/x
  3. Step 3: Cross multiply
    432.46x = 596.64 × 275.20
  4. Step 4: Simplify right side
    432.46x = 164,195.33
  5. Step 5: Solve for x
    x = 164,195.33/432.46
  6. Step 6: Final answer
    x = 379.68

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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.