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Finding the Fourth Proportional to 151.02, 226.20 and 118.35

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Solution

The fourth proportional to 151.02, 226.20 and 118.35 is: 177.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.02 : 226.20 = 118.35 : x
  2. Step 2: Convert to fraction form
    151.02/226.20 = 118.35/x
  3. Step 3: Cross multiply
    151.02x = 226.20 × 118.35
  4. Step 4: Simplify right side
    151.02x = 26,770.77
  5. Step 5: Solve for x
    x = 26,770.77/151.02
  6. Step 6: Final answer
    x = 177.27

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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.