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Finding the Fourth Proportional to 151.06, 226.62 and 48.34

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Solution

The fourth proportional to 151.06, 226.62 and 48.34 is: 72.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.06 : 226.62 = 48.34 : x
  2. Step 2: Convert to fraction form
    151.06/226.62 = 48.34/x
  3. Step 3: Cross multiply
    151.06x = 226.62 × 48.34
  4. Step 4: Simplify right side
    151.06x = 10,954.81
  5. Step 5: Solve for x
    x = 10,954.81/151.06
  6. Step 6: Final answer
    x = 72.52

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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.