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Finding the Fourth Proportional to 117.99, 177.89 and 114.75

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Solution

The fourth proportional to 117.99, 177.89 and 114.75 is: 173.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.99 : 177.89 = 114.75 : x
  2. Step 2: Convert to fraction form
    117.99/177.89 = 114.75/x
  3. Step 3: Cross multiply
    117.99x = 177.89 × 114.75
  4. Step 4: Simplify right side
    117.99x = 20,412.30
  5. Step 5: Solve for x
    x = 20,412.30/117.99
  6. Step 6: Final answer
    x = 173.00

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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.