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Finding the Fourth Proportional to 400.39, 552.54 and 216.39

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Solution

The fourth proportional to 400.39, 552.54 and 216.39 is: 298.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.39 : 552.54 = 216.39 : x
  2. Step 2: Convert to fraction form
    400.39/552.54 = 216.39/x
  3. Step 3: Cross multiply
    400.39x = 552.54 × 216.39
  4. Step 4: Simplify right side
    400.39x = 119,564.34
  5. Step 5: Solve for x
    x = 119,564.34/400.39
  6. Step 6: Final answer
    x = 298.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.