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Finding the Fourth Proportional to 492.32, 679.37 and 271.23

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Solution

The fourth proportional to 492.32, 679.37 and 271.23 is: 374.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.32 : 679.37 = 271.23 : x
  2. Step 2: Convert to fraction form
    492.32/679.37 = 271.23/x
  3. Step 3: Cross multiply
    492.32x = 679.37 × 271.23
  4. Step 4: Simplify right side
    492.32x = 184,264.17
  5. Step 5: Solve for x
    x = 184,264.17/492.32
  6. Step 6: Final answer
    x = 374.28

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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.