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Finding the Fourth Proportional to 409.69, 614.54 and 121.06

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Solution

The fourth proportional to 409.69, 614.54 and 121.06 is: 181.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.69 : 614.54 = 121.06 : x
  2. Step 2: Convert to fraction form
    409.69/614.54 = 121.06/x
  3. Step 3: Cross multiply
    409.69x = 614.54 × 121.06
  4. Step 4: Simplify right side
    409.69x = 74,396.21
  5. Step 5: Solve for x
    x = 74,396.21/409.69
  6. Step 6: Final answer
    x = 181.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.