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Finding the Fourth Proportional to 329.03, 492.74 and 264.77

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Solution

The fourth proportional to 329.03, 492.74 and 264.77 is: 396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.03 : 492.74 = 264.77 : x
  2. Step 2: Convert to fraction form
    329.03/492.74 = 264.77/x
  3. Step 3: Cross multiply
    329.03x = 492.74 × 264.77
  4. Step 4: Simplify right side
    329.03x = 130,461.45
  5. Step 5: Solve for x
    x = 130,461.45/329.03
  6. Step 6: Final answer
    x = 396.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.