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Finding the Fourth Proportional to 177.44, 264.86 and 165.06

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Solution

The fourth proportional to 177.44, 264.86 and 165.06 is: 246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.44 : 264.86 = 165.06 : x
  2. Step 2: Convert to fraction form
    177.44/264.86 = 165.06/x
  3. Step 3: Cross multiply
    177.44x = 264.86 × 165.06
  4. Step 4: Simplify right side
    177.44x = 43,717.79
  5. Step 5: Solve for x
    x = 43,717.79/177.44
  6. Step 6: Final answer
    x = 246.38

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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.