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Finding the Fourth Proportional to 119.07, 177.81 and 97.44

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Solution

The fourth proportional to 119.07, 177.81 and 97.44 is: 145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.07 : 177.81 = 97.44 : x
  2. Step 2: Convert to fraction form
    119.07/177.81 = 97.44/x
  3. Step 3: Cross multiply
    119.07x = 177.81 × 97.44
  4. Step 4: Simplify right side
    119.07x = 17,325.81
  5. Step 5: Solve for x
    x = 17,325.81/119.07
  6. Step 6: Final answer
    x = 145.51

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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.