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Finding the Fourth Proportional to 328.06, 492.09 and 111.52

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Solution

The fourth proportional to 328.06, 492.09 and 111.52 is: 167.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.06 : 492.09 = 111.52 : x
  2. Step 2: Convert to fraction form
    328.06/492.09 = 111.52/x
  3. Step 3: Cross multiply
    328.06x = 492.09 × 111.52
  4. Step 4: Simplify right side
    328.06x = 54,877.88
  5. Step 5: Solve for x
    x = 54,877.88/328.06
  6. Step 6: Final answer
    x = 167.28

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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.