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Finding the Fourth Proportional to 174.16, 259.70 and 171.96

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Solution

The fourth proportional to 174.16, 259.70 and 171.96 is: 256.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.16 : 259.70 = 171.96 : x
  2. Step 2: Convert to fraction form
    174.16/259.70 = 171.96/x
  3. Step 3: Cross multiply
    174.16x = 259.70 × 171.96
  4. Step 4: Simplify right side
    174.16x = 44,658.01
  5. Step 5: Solve for x
    x = 44,658.01/174.16
  6. Step 6: Final answer
    x = 256.42

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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.