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Finding the Fourth Proportional to 166.56, 251.16 and 153.12

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Solution

The fourth proportional to 166.56, 251.16 and 153.12 is: 230.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.56 : 251.16 = 153.12 : x
  2. Step 2: Convert to fraction form
    166.56/251.16 = 153.12/x
  3. Step 3: Cross multiply
    166.56x = 251.16 × 153.12
  4. Step 4: Simplify right side
    166.56x = 38,457.62
  5. Step 5: Solve for x
    x = 38,457.62/166.56
  6. Step 6: Final answer
    x = 230.89

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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.