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Finding the Fourth Proportional to 165.11, 246.51 and 145.67

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Solution

The fourth proportional to 165.11, 246.51 and 145.67 is: 217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.11 : 246.51 = 145.67 : x
  2. Step 2: Convert to fraction form
    165.11/246.51 = 145.67/x
  3. Step 3: Cross multiply
    165.11x = 246.51 × 145.67
  4. Step 4: Simplify right side
    165.11x = 35,907.88
  5. Step 5: Solve for x
    x = 35,907.88/165.11
  6. Step 6: Final answer
    x = 217.49

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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.