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Finding the Fourth Proportional to 118.02, 177.90 and 107.76

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Solution

The fourth proportional to 118.02, 177.90 and 107.76 is: 162.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.02 : 177.90 = 107.76 : x
  2. Step 2: Convert to fraction form
    118.02/177.90 = 107.76/x
  3. Step 3: Cross multiply
    118.02x = 177.90 × 107.76
  4. Step 4: Simplify right side
    118.02x = 19,171.17
  5. Step 5: Solve for x
    x = 19,171.17/118.02
  6. Step 6: Final answer
    x = 162.45

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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.