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Finding the Fourth Proportional to 406.67, 561.66 and 275.45

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Solution

The fourth proportional to 406.67, 561.66 and 275.45 is: 380.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.67 : 561.66 = 275.45 : x
  2. Step 2: Convert to fraction form
    406.67/561.66 = 275.45/x
  3. Step 3: Cross multiply
    406.67x = 561.66 × 275.45
  4. Step 4: Simplify right side
    406.67x = 154,709.25
  5. Step 5: Solve for x
    x = 154,709.25/406.67
  6. Step 6: Final answer
    x = 380.43

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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.