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Finding the Fourth Proportional to 176.36, 242.93 and 167.72

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Solution

The fourth proportional to 176.36, 242.93 and 167.72 is: 231.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.36 : 242.93 = 167.72 : x
  2. Step 2: Convert to fraction form
    176.36/242.93 = 167.72/x
  3. Step 3: Cross multiply
    176.36x = 242.93 × 167.72
  4. Step 4: Simplify right side
    176.36x = 40,743.42
  5. Step 5: Solve for x
    x = 40,743.42/176.36
  6. Step 6: Final answer
    x = 231.03

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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.