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Finding the Fourth Proportional to 400.29, 597.39 and 384.42

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Solution

The fourth proportional to 400.29, 597.39 and 384.42 is: 573.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.29 : 597.39 = 384.42 : x
  2. Step 2: Convert to fraction form
    400.29/597.39 = 384.42/x
  3. Step 3: Cross multiply
    400.29x = 597.39 × 384.42
  4. Step 4: Simplify right side
    400.29x = 229,648.66
  5. Step 5: Solve for x
    x = 229,648.66/400.29
  6. Step 6: Final answer
    x = 573.71

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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.