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Finding the Fourth Proportional to 176.06, 242.57 and 120.70

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Solution

The fourth proportional to 176.06, 242.57 and 120.70 is: 166.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.06 : 242.57 = 120.70 : x
  2. Step 2: Convert to fraction form
    176.06/242.57 = 120.70/x
  3. Step 3: Cross multiply
    176.06x = 242.57 × 120.70
  4. Step 4: Simplify right side
    176.06x = 29,276.38
  5. Step 5: Solve for x
    x = 29,276.38/176.06
  6. Step 6: Final answer
    x = 166.29

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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.