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Finding the Fourth Proportional to 492.47, 679.56 and 271.37

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Solution

The fourth proportional to 492.47, 679.56 and 271.37 is: 374.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.47 : 679.56 = 271.37 : x
  2. Step 2: Convert to fraction form
    492.47/679.56 = 271.37/x
  3. Step 3: Cross multiply
    492.47x = 679.56 × 271.37
  4. Step 4: Simplify right side
    492.47x = 184,412.20
  5. Step 5: Solve for x
    x = 184,412.20/492.47
  6. Step 6: Final answer
    x = 374.46

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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.