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Finding the Fourth Proportional to 176.51, 264.31 and 121.84

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Solution

The fourth proportional to 176.51, 264.31 and 121.84 is: 182.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.51 : 264.31 = 121.84 : x
  2. Step 2: Convert to fraction form
    176.51/264.31 = 121.84/x
  3. Step 3: Cross multiply
    176.51x = 264.31 × 121.84
  4. Step 4: Simplify right side
    176.51x = 32,202.57
  5. Step 5: Solve for x
    x = 32,202.57/176.51
  6. Step 6: Final answer
    x = 182.44

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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.