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Finding the Fourth Proportional to 151.50, 228.06 and 131.64

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Solution

The fourth proportional to 151.50, 228.06 and 131.64 is: 198.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.50 : 228.06 = 131.64 : x
  2. Step 2: Convert to fraction form
    151.50/228.06 = 131.64/x
  3. Step 3: Cross multiply
    151.50x = 228.06 × 131.64
  4. Step 4: Simplify right side
    151.50x = 30,021.82
  5. Step 5: Solve for x
    x = 30,021.82/151.50
  6. Step 6: Final answer
    x = 198.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.