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Finding the Fourth Proportional to 118.21, 177.18 and 49.68

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Solution

The fourth proportional to 118.21, 177.18 and 49.68 is: 74.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.21 : 177.18 = 49.68 : x
  2. Step 2: Convert to fraction form
    118.21/177.18 = 49.68/x
  3. Step 3: Cross multiply
    118.21x = 177.18 × 49.68
  4. Step 4: Simplify right side
    118.21x = 8,802.30
  5. Step 5: Solve for x
    x = 8,802.30/118.21
  6. Step 6: Final answer
    x = 74.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.