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Finding the Fourth Proportional to 431.82, 596.10 and 274.68

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Solution

The fourth proportional to 431.82, 596.10 and 274.68 is: 379.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.82 : 596.10 = 274.68 : x
  2. Step 2: Convert to fraction form
    431.82/596.10 = 274.68/x
  3. Step 3: Cross multiply
    431.82x = 596.10 × 274.68
  4. Step 4: Simplify right side
    431.82x = 163,736.75
  5. Step 5: Solve for x
    x = 163,736.75/431.82
  6. Step 6: Final answer
    x = 379.18

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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.