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Finding the Fourth Proportional to 208.15, 310.51 and 174.13

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Solution

The fourth proportional to 208.15, 310.51 and 174.13 is: 259.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.15 : 310.51 = 174.13 : x
  2. Step 2: Convert to fraction form
    208.15/310.51 = 174.13/x
  3. Step 3: Cross multiply
    208.15x = 310.51 × 174.13
  4. Step 4: Simplify right side
    208.15x = 54,069.11
  5. Step 5: Solve for x
    x = 54,069.11/208.15
  6. Step 6: Final answer
    x = 259.76

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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.