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Finding the Fourth Proportional to 177.93, 246.85 and 171.45

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Solution

The fourth proportional to 177.93, 246.85 and 171.45 is: 237.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.93 : 246.85 = 171.45 : x
  2. Step 2: Convert to fraction form
    177.93/246.85 = 171.45/x
  3. Step 3: Cross multiply
    177.93x = 246.85 × 171.45
  4. Step 4: Simplify right side
    177.93x = 42,322.00
  5. Step 5: Solve for x
    x = 42,322.00/177.93
  6. Step 6: Final answer
    x = 237.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.