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Finding the Fourth Proportional to 329.58, 492.51 and 268.77

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Solution

The fourth proportional to 329.58, 492.51 and 268.77 is: 401.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.58 : 492.51 = 268.77 : x
  2. Step 2: Convert to fraction form
    329.58/492.51 = 268.77/x
  3. Step 3: Cross multiply
    329.58x = 492.51 × 268.77
  4. Step 4: Simplify right side
    329.58x = 132,371.91
  5. Step 5: Solve for x
    x = 132,371.91/329.58
  6. Step 6: Final answer
    x = 401.64

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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.