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Finding the Fourth Proportional to 164.08, 244.85 and 145.90

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Solution

The fourth proportional to 164.08, 244.85 and 145.90 is: 217.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.08 : 244.85 = 145.90 : x
  2. Step 2: Convert to fraction form
    164.08/244.85 = 145.90/x
  3. Step 3: Cross multiply
    164.08x = 244.85 × 145.90
  4. Step 4: Simplify right side
    164.08x = 35,723.62
  5. Step 5: Solve for x
    x = 35,723.62/164.08
  6. Step 6: Final answer
    x = 217.72

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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.