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Finding the Fourth Proportional to 208.23, 310.64 and 174.21

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Solution

The fourth proportional to 208.23, 310.64 and 174.21 is: 259.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.23 : 310.64 = 174.21 : x
  2. Step 2: Convert to fraction form
    208.23/310.64 = 174.21/x
  3. Step 3: Cross multiply
    208.23x = 310.64 × 174.21
  4. Step 4: Simplify right side
    208.23x = 54,116.59
  5. Step 5: Solve for x
    x = 54,116.59/208.23
  6. Step 6: Final answer
    x = 259.89

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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.