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Finding the Fourth Proportional to 174.11, 259.13 and 170.51

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Solution

The fourth proportional to 174.11, 259.13 and 170.51 is: 253.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.11 : 259.13 = 170.51 : x
  2. Step 2: Convert to fraction form
    174.11/259.13 = 170.51/x
  3. Step 3: Cross multiply
    174.11x = 259.13 × 170.51
  4. Step 4: Simplify right side
    174.11x = 44,183.39
  5. Step 5: Solve for x
    x = 44,183.39/174.11
  6. Step 6: Final answer
    x = 253.77

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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.