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Finding the Fourth Proportional to 329.96, 492.57 and 286.76

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Solution

The fourth proportional to 329.96, 492.57 and 286.76 is: 428.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.96 : 492.57 = 286.76 : x
  2. Step 2: Convert to fraction form
    329.96/492.57 = 286.76/x
  3. Step 3: Cross multiply
    329.96x = 492.57 × 286.76
  4. Step 4: Simplify right side
    329.96x = 141,249.37
  5. Step 5: Solve for x
    x = 141,249.37/329.96
  6. Step 6: Final answer
    x = 428.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.