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Finding the Fourth Proportional to 368.44, 508.44 and 211.03

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Solution

The fourth proportional to 368.44, 508.44 and 211.03 is: 291.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.44 : 508.44 = 211.03 : x
  2. Step 2: Convert to fraction form
    368.44/508.44 = 211.03/x
  3. Step 3: Cross multiply
    368.44x = 508.44 × 211.03
  4. Step 4: Simplify right side
    368.44x = 107,296.09
  5. Step 5: Solve for x
    x = 107,296.09/368.44
  6. Step 6: Final answer
    x = 291.22

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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.