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Finding the Fourth Proportional to 174.69, 262.13 and 165.51

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Solution

The fourth proportional to 174.69, 262.13 and 165.51 is: 248.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.69 : 262.13 = 165.51 : x
  2. Step 2: Convert to fraction form
    174.69/262.13 = 165.51/x
  3. Step 3: Cross multiply
    174.69x = 262.13 × 165.51
  4. Step 4: Simplify right side
    174.69x = 43,384.31
  5. Step 5: Solve for x
    x = 43,384.31/174.69
  6. Step 6: Final answer
    x = 248.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.