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Finding the Fourth Proportional to 176.00, 242.64 and 120.65

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Solution

The fourth proportional to 176.00, 242.64 and 120.65 is: 166.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.00 : 242.64 = 120.65 : x
  2. Step 2: Convert to fraction form
    176.00/242.64 = 120.65/x
  3. Step 3: Cross multiply
    176.00x = 242.64 × 120.65
  4. Step 4: Simplify right side
    176.00x = 29,273.30
  5. Step 5: Solve for x
    x = 29,273.30/176.00
  6. Step 6: Final answer
    x = 166.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.