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Finding the Fourth Proportional to 492.40, 679.51 and 271.35

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Solution

The fourth proportional to 492.40, 679.51 and 271.35 is: 374.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.40 : 679.51 = 271.35 : x
  2. Step 2: Convert to fraction form
    492.40/679.51 = 271.35/x
  3. Step 3: Cross multiply
    492.40x = 679.51 × 271.35
  4. Step 4: Simplify right side
    492.40x = 184,385.38
  5. Step 5: Solve for x
    x = 184,385.38/492.40
  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.