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Finding the Fourth Proportional to 177.09, 264.61 and 122.55

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Solution

The fourth proportional to 177.09, 264.61 and 122.55 is: 183.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.09 : 264.61 = 122.55 : x
  2. Step 2: Convert to fraction form
    177.09/264.61 = 122.55/x
  3. Step 3: Cross multiply
    177.09x = 264.61 × 122.55
  4. Step 4: Simplify right side
    177.09x = 32,427.96
  5. Step 5: Solve for x
    x = 32,427.96/177.09
  6. Step 6: Final answer
    x = 183.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.