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Finding the Fourth Proportional to 174.81, 263.45 and 164.89

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Solution

The fourth proportional to 174.81, 263.45 and 164.89 is: 248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.81 : 263.45 = 164.89 : x
  2. Step 2: Convert to fraction form
    174.81/263.45 = 164.89/x
  3. Step 3: Cross multiply
    174.81x = 263.45 × 164.89
  4. Step 4: Simplify right side
    174.81x = 43,440.27
  5. Step 5: Solve for x
    x = 43,440.27/174.81
  6. Step 6: Final answer
    x = 248.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.