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Finding the Fourth Proportional to 174.99, 260.92 and 171.75

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Solution

The fourth proportional to 174.99, 260.92 and 171.75 is: 256.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.99 : 260.92 = 171.75 : x
  2. Step 2: Convert to fraction form
    174.99/260.92 = 171.75/x
  3. Step 3: Cross multiply
    174.99x = 260.92 × 171.75
  4. Step 4: Simplify right side
    174.99x = 44,812.58
  5. Step 5: Solve for x
    x = 44,812.58/174.99
  6. Step 6: Final answer
    x = 256.09

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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.