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Finding the Fourth Proportional to 177.61, 264.59 and 171.08

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Solution

The fourth proportional to 177.61, 264.59 and 171.08 is: 254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.61 : 264.59 = 171.08 : x
  2. Step 2: Convert to fraction form
    177.61/264.59 = 171.08/x
  3. Step 3: Cross multiply
    177.61x = 264.59 × 171.08
  4. Step 4: Simplify right side
    177.61x = 45,263.88
  5. Step 5: Solve for x
    x = 45,263.88/177.61
  6. Step 6: Final answer
    x = 254.86

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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.