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Finding the Fourth Proportional to 119.03, 177.12 and 117.81

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Solution

The fourth proportional to 119.03, 177.12 and 117.81 is: 175.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.03 : 177.12 = 117.81 : x
  2. Step 2: Convert to fraction form
    119.03/177.12 = 117.81/x
  3. Step 3: Cross multiply
    119.03x = 177.12 × 117.81
  4. Step 4: Simplify right side
    119.03x = 20,866.51
  5. Step 5: Solve for x
    x = 20,866.51/119.03
  6. Step 6: Final answer
    x = 175.31

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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.