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Finding the Fourth Proportional to 176.12, 265.50 and 161.08

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Solution

The fourth proportional to 176.12, 265.50 and 161.08 is: 242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.12 : 265.50 = 161.08 : x
  2. Step 2: Convert to fraction form
    176.12/265.50 = 161.08/x
  3. Step 3: Cross multiply
    176.12x = 265.50 × 161.08
  4. Step 4: Simplify right side
    176.12x = 42,766.74
  5. Step 5: Solve for x
    x = 42,766.74/176.12
  6. Step 6: Final answer
    x = 242.83

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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.