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Finding the Fourth Proportional to 328.72, 492.60 and 146.08

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Solution

The fourth proportional to 328.72, 492.60 and 146.08 is: 218.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.72 : 492.60 = 146.08 : x
  2. Step 2: Convert to fraction form
    328.72/492.60 = 146.08/x
  3. Step 3: Cross multiply
    328.72x = 492.60 × 146.08
  4. Step 4: Simplify right side
    328.72x = 71,959.01
  5. Step 5: Solve for x
    x = 71,959.01/328.72
  6. Step 6: Final answer
    x = 218.91

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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.