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Finding the Fourth Proportional to 406.69, 561.04 and 266.75

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Solution

The fourth proportional to 406.69, 561.04 and 266.75 is: 367.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.69 : 561.04 = 266.75 : x
  2. Step 2: Convert to fraction form
    406.69/561.04 = 266.75/x
  3. Step 3: Cross multiply
    406.69x = 561.04 × 266.75
  4. Step 4: Simplify right side
    406.69x = 149,657.42
  5. Step 5: Solve for x
    x = 149,657.42/406.69
  6. Step 6: Final answer
    x = 367.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.