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Finding the Fourth Proportional to 213.66, 319.89 and 177.72

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Solution

The fourth proportional to 213.66, 319.89 and 177.72 is: 266.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.66 : 319.89 = 177.72 : x
  2. Step 2: Convert to fraction form
    213.66/319.89 = 177.72/x
  3. Step 3: Cross multiply
    213.66x = 319.89 × 177.72
  4. Step 4: Simplify right side
    213.66x = 56,850.85
  5. Step 5: Solve for x
    x = 56,850.85/213.66
  6. Step 6: Final answer
    x = 266.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.