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Finding the Fourth Proportional to 400.26, 597.93 and 289.62

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Solution

The fourth proportional to 400.26, 597.93 and 289.62 is: 432.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.26 : 597.93 = 289.62 : x
  2. Step 2: Convert to fraction form
    400.26/597.93 = 289.62/x
  3. Step 3: Cross multiply
    400.26x = 597.93 × 289.62
  4. Step 4: Simplify right side
    400.26x = 173,172.49
  5. Step 5: Solve for x
    x = 173,172.49/400.26
  6. Step 6: Final answer
    x = 432.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.