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Finding the Fourth Proportional to 164.39, 245.13 and 141.71

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Solution

The fourth proportional to 164.39, 245.13 and 141.71 is: 211.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.39 : 245.13 = 141.71 : x
  2. Step 2: Convert to fraction form
    164.39/245.13 = 141.71/x
  3. Step 3: Cross multiply
    164.39x = 245.13 × 141.71
  4. Step 4: Simplify right side
    164.39x = 34,735.62
  5. Step 5: Solve for x
    x = 34,735.62/164.39
  6. Step 6: Final answer
    x = 211.31

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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.