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Finding the Fourth Proportional to 175.09, 261.26 and 174.08

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Solution

The fourth proportional to 175.09, 261.26 and 174.08 is: 259.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.09 : 261.26 = 174.08 : x
  2. Step 2: Convert to fraction form
    175.09/261.26 = 174.08/x
  3. Step 3: Cross multiply
    175.09x = 261.26 × 174.08
  4. Step 4: Simplify right side
    175.09x = 45,479.27
  5. Step 5: Solve for x
    x = 45,479.27/175.09
  6. Step 6: Final answer
    x = 259.75

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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.