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Finding the Fourth Proportional to 174.22, 259.80 and 170.08

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Solution

The fourth proportional to 174.22, 259.80 and 170.08 is: 253.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.22 : 259.80 = 170.08 : x
  2. Step 2: Convert to fraction form
    174.22/259.80 = 170.08/x
  3. Step 3: Cross multiply
    174.22x = 259.80 × 170.08
  4. Step 4: Simplify right side
    174.22x = 44,186.78
  5. Step 5: Solve for x
    x = 44,186.78/174.22
  6. Step 6: Final answer
    x = 253.63

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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.