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Finding the Fourth Proportional to 406.17, 555.57 and 399.81

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Solution

The fourth proportional to 406.17, 555.57 and 399.81 is: 546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.17 : 555.57 = 399.81 : x
  2. Step 2: Convert to fraction form
    406.17/555.57 = 399.81/x
  3. Step 3: Cross multiply
    406.17x = 555.57 × 399.81
  4. Step 4: Simplify right side
    406.17x = 222,122.44
  5. Step 5: Solve for x
    x = 222,122.44/406.17
  6. Step 6: Final answer
    x = 546.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.