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Finding the Fourth Proportional to 263.60, 363.48 and 176.12

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Solution

The fourth proportional to 263.60, 363.48 and 176.12 is: 242.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.60 : 363.48 = 176.12 : x
  2. Step 2: Convert to fraction form
    263.60/363.48 = 176.12/x
  3. Step 3: Cross multiply
    263.60x = 363.48 × 176.12
  4. Step 4: Simplify right side
    263.60x = 64,016.10
  5. Step 5: Solve for x
    x = 64,016.10/263.60
  6. Step 6: Final answer
    x = 242.85

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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.