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Finding the Fourth Proportional to 613.06, 918.79 and 266.29

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Solution

The fourth proportional to 613.06, 918.79 and 266.29 is: 399.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.06 : 918.79 = 266.29 : x
  2. Step 2: Convert to fraction form
    613.06/918.79 = 266.29/x
  3. Step 3: Cross multiply
    613.06x = 918.79 × 266.29
  4. Step 4: Simplify right side
    613.06x = 244,664.59
  5. Step 5: Solve for x
    x = 244,664.59/613.06
  6. Step 6: Final answer
    x = 399.09

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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.