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Finding the Fourth Proportional to 149.58, 223.29 and 118.87

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Solution

The fourth proportional to 149.58, 223.29 and 118.87 is: 177.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.58 : 223.29 = 118.87 : x
  2. Step 2: Convert to fraction form
    149.58/223.29 = 118.87/x
  3. Step 3: Cross multiply
    149.58x = 223.29 × 118.87
  4. Step 4: Simplify right side
    149.58x = 26,541.92
  5. Step 5: Solve for x
    x = 26,541.92/149.58
  6. Step 6: Final answer
    x = 177.44

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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.