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Finding the Fourth Proportional to 578.69, 867.66 and 266.21

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Solution

The fourth proportional to 578.69, 867.66 and 266.21 is: 399.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.69 : 867.66 = 266.21 : x
  2. Step 2: Convert to fraction form
    578.69/867.66 = 266.21/x
  3. Step 3: Cross multiply
    578.69x = 867.66 × 266.21
  4. Step 4: Simplify right side
    578.69x = 230,981.62
  5. Step 5: Solve for x
    x = 230,981.62/578.69
  6. Step 6: Final answer
    x = 399.14

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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.