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Finding the Fourth Proportional to 400.63, 599.64 and 217.57

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Solution

The fourth proportional to 400.63, 599.64 and 217.57 is: 325.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.63 : 599.64 = 217.57 : x
  2. Step 2: Convert to fraction form
    400.63/599.64 = 217.57/x
  3. Step 3: Cross multiply
    400.63x = 599.64 × 217.57
  4. Step 4: Simplify right side
    400.63x = 130,463.67
  5. Step 5: Solve for x
    x = 130,463.67/400.63
  6. Step 6: Final answer
    x = 325.65

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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.