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Finding the Fourth Proportional to 488.19, 732.23 and 122.96

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Solution

The fourth proportional to 488.19, 732.23 and 122.96 is: 184.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.19 : 732.23 = 122.96 : x
  2. Step 2: Convert to fraction form
    488.19/732.23 = 122.96/x
  3. Step 3: Cross multiply
    488.19x = 732.23 × 122.96
  4. Step 4: Simplify right side
    488.19x = 90,030.72
  5. Step 5: Solve for x
    x = 90,030.72/488.19
  6. Step 6: Final answer
    x = 184.42

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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.