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Finding the Fourth Proportional to 400.50, 600.57 and 205.38

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Solution

The fourth proportional to 400.50, 600.57 and 205.38 is: 307.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.50 : 600.57 = 205.38 : x
  2. Step 2: Convert to fraction form
    400.50/600.57 = 205.38/x
  3. Step 3: Cross multiply
    400.50x = 600.57 × 205.38
  4. Step 4: Simplify right side
    400.50x = 123,345.07
  5. Step 5: Solve for x
    x = 123,345.07/400.50
  6. Step 6: Final answer
    x = 307.98

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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.