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Finding the Fourth Proportional to 151.88, 228.47 and 131.81

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Solution

The fourth proportional to 151.88, 228.47 and 131.81 is: 198.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.88 : 228.47 = 131.81 : x
  2. Step 2: Convert to fraction form
    151.88/228.47 = 131.81/x
  3. Step 3: Cross multiply
    151.88x = 228.47 × 131.81
  4. Step 4: Simplify right side
    151.88x = 30,112.83
  5. Step 5: Solve for x
    x = 30,112.83/151.88
  6. Step 6: Final answer
    x = 198.27

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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.