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Finding the Fourth Proportional to 177.30, 243 and 171.81

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Solution

The fourth proportional to 177.30, 243 and 171.81 is: 235.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.30 : 243 = 171.81 : x
  2. Step 2: Convert to fraction form
    177.30/243 = 171.81/x
  3. Step 3: Cross multiply
    177.30x = 243 × 171.81
  4. Step 4: Simplify right side
    177.30x = 41,749.83
  5. Step 5: Solve for x
    x = 41,749.83/177.30
  6. Step 6: Final answer
    x = 235.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.