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Finding the Fourth Proportional to 400.28, 597.04 and 364.91

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Solution

The fourth proportional to 400.28, 597.04 and 364.91 is: 544.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.28 : 597.04 = 364.91 : x
  2. Step 2: Convert to fraction form
    400.28/597.04 = 364.91/x
  3. Step 3: Cross multiply
    400.28x = 597.04 × 364.91
  4. Step 4: Simplify right side
    400.28x = 217,861.97
  5. Step 5: Solve for x
    x = 217,861.97/400.28
  6. Step 6: Final answer
    x = 544.28

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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.