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Finding the Fourth Proportional to 176.66, 242.18 and 173.82

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Solution

The fourth proportional to 176.66, 242.18 and 173.82 is: 238.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.66 : 242.18 = 173.82 : x
  2. Step 2: Convert to fraction form
    176.66/242.18 = 173.82/x
  3. Step 3: Cross multiply
    176.66x = 242.18 × 173.82
  4. Step 4: Simplify right side
    176.66x = 42,094.86
  5. Step 5: Solve for x
    x = 42,094.86/176.66
  6. Step 6: Final answer
    x = 238.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.