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Finding the Fourth Proportional to 117.27, 177.01 and 117.27

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Solution

The fourth proportional to 117.27, 177.01 and 117.27 is: 177.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.27 : 177.01 = 117.27 : x
  2. Step 2: Convert to fraction form
    117.27/177.01 = 117.27/x
  3. Step 3: Cross multiply
    117.27x = 177.01 × 117.27
  4. Step 4: Simplify right side
    117.27x = 20,757.67
  5. Step 5: Solve for x
    x = 20,757.67/117.27
  6. Step 6: Final answer
    x = 177.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.