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Finding the Fourth Proportional to 329.01, 492.28 and 289.77

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Solution

The fourth proportional to 329.01, 492.28 and 289.77 is: 433.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.01 : 492.28 = 289.77 : x
  2. Step 2: Convert to fraction form
    329.01/492.28 = 289.77/x
  3. Step 3: Cross multiply
    329.01x = 492.28 × 289.77
  4. Step 4: Simplify right side
    329.01x = 142,647.98
  5. Step 5: Solve for x
    x = 142,647.98/329.01
  6. Step 6: Final answer
    x = 433.57

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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.