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Finding the Fourth Proportional to 492.93, 680.19 and 271.82

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Solution

The fourth proportional to 492.93, 680.19 and 271.82 is: 375.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.93 : 680.19 = 271.82 : x
  2. Step 2: Convert to fraction form
    492.93/680.19 = 271.82/x
  3. Step 3: Cross multiply
    492.93x = 680.19 × 271.82
  4. Step 4: Simplify right side
    492.93x = 184,889.25
  5. Step 5: Solve for x
    x = 184,889.25/492.93
  6. Step 6: Final answer
    x = 375.08

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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.