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Finding the Fourth Proportional to 176.42, 265.77 and 161.38

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Solution

The fourth proportional to 176.42, 265.77 and 161.38 is: 243.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.42 : 265.77 = 161.38 : x
  2. Step 2: Convert to fraction form
    176.42/265.77 = 161.38/x
  3. Step 3: Cross multiply
    176.42x = 265.77 × 161.38
  4. Step 4: Simplify right side
    176.42x = 42,889.96
  5. Step 5: Solve for x
    x = 42,889.96/176.42
  6. Step 6: Final answer
    x = 243.12

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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.