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Finding the Fourth Proportional to 328.72, 492.88 and 166.08

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Solution

The fourth proportional to 328.72, 492.88 and 166.08 is: 249.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.72 : 492.88 = 166.08 : x
  2. Step 2: Convert to fraction form
    328.72/492.88 = 166.08/x
  3. Step 3: Cross multiply
    328.72x = 492.88 × 166.08
  4. Step 4: Simplify right side
    328.72x = 81,857.51
  5. Step 5: Solve for x
    x = 81,857.51/328.72
  6. Step 6: Final answer
    x = 249.02

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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.