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Finding the Fourth Proportional to 400.62, 599.59 and 365.98

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Solution

The fourth proportional to 400.62, 599.59 and 365.98 is: 547.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.62 : 599.59 = 365.98 : x
  2. Step 2: Convert to fraction form
    400.62/599.59 = 365.98/x
  3. Step 3: Cross multiply
    400.62x = 599.59 × 365.98
  4. Step 4: Simplify right side
    400.62x = 219,437.37
  5. Step 5: Solve for x
    x = 219,437.37/400.62
  6. Step 6: Final answer
    x = 547.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.