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Finding the Fourth Proportional to 328.60, 493.02 and 123.19

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Solution

The fourth proportional to 328.60, 493.02 and 123.19 is: 184.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.60 : 493.02 = 123.19 : x
  2. Step 2: Convert to fraction form
    328.60/493.02 = 123.19/x
  3. Step 3: Cross multiply
    328.60x = 493.02 × 123.19
  4. Step 4: Simplify right side
    328.60x = 60,735.13
  5. Step 5: Solve for x
    x = 60,735.13/328.60
  6. Step 6: Final answer
    x = 184.83

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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.