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Finding the Fourth Proportional to 174.69, 260.28 and 165.38

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Solution

The fourth proportional to 174.69, 260.28 and 165.38 is: 246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.69 : 260.28 = 165.38 : x
  2. Step 2: Convert to fraction form
    174.69/260.28 = 165.38/x
  3. Step 3: Cross multiply
    174.69x = 260.28 × 165.38
  4. Step 4: Simplify right side
    174.69x = 43,043.81
  5. Step 5: Solve for x
    x = 43,043.81/174.69
  6. Step 6: Final answer
    x = 246.40

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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.