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Finding the Fourth Proportional to 174.09, 259.78 and 156.68

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Solution

The fourth proportional to 174.09, 259.78 and 156.68 is: 233.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.09 : 259.78 = 156.68 : x
  2. Step 2: Convert to fraction form
    174.09/259.78 = 156.68/x
  3. Step 3: Cross multiply
    174.09x = 259.78 × 156.68
  4. Step 4: Simplify right side
    174.09x = 40,700.64
  5. Step 5: Solve for x
    x = 40,700.64/174.09
  6. Step 6: Final answer
    x = 233.79

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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.