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Finding the Fourth Proportional to 407.40, 559.11 and 365.69

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Solution

The fourth proportional to 407.40, 559.11 and 365.69 is: 501.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.40 : 559.11 = 365.69 : x
  2. Step 2: Convert to fraction form
    407.40/559.11 = 365.69/x
  3. Step 3: Cross multiply
    407.40x = 559.11 × 365.69
  4. Step 4: Simplify right side
    407.40x = 204,458.14
  5. Step 5: Solve for x
    x = 204,458.14/407.40
  6. Step 6: Final answer
    x = 501.86

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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.