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Finding the Fourth Proportional to 177.84, 245.57 and 131.27

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Solution

The fourth proportional to 177.84, 245.57 and 131.27 is: 181.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.84 : 245.57 = 131.27 : x
  2. Step 2: Convert to fraction form
    177.84/245.57 = 131.27/x
  3. Step 3: Cross multiply
    177.84x = 245.57 × 131.27
  4. Step 4: Simplify right side
    177.84x = 32,234.09
  5. Step 5: Solve for x
    x = 32,234.09/177.84
  6. Step 6: Final answer
    x = 181.25

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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.