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Finding the Fourth Proportional to 405.06, 555.24 and 399.42

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Solution

The fourth proportional to 405.06, 555.24 and 399.42 is: 547.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.06 : 555.24 = 399.42 : x
  2. Step 2: Convert to fraction form
    405.06/555.24 = 399.42/x
  3. Step 3: Cross multiply
    405.06x = 555.24 × 399.42
  4. Step 4: Simplify right side
    405.06x = 221,773.96
  5. Step 5: Solve for x
    x = 221,773.96/405.06
  6. Step 6: Final answer
    x = 547.51

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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.