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Finding the Fourth Proportional to 164.42, 245.40 and 141.18

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Solution

The fourth proportional to 164.42, 245.40 and 141.18 is: 210.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.42 : 245.40 = 141.18 : x
  2. Step 2: Convert to fraction form
    164.42/245.40 = 141.18/x
  3. Step 3: Cross multiply
    164.42x = 245.40 × 141.18
  4. Step 4: Simplify right side
    164.42x = 34,645.57
  5. Step 5: Solve for x
    x = 34,645.57/164.42
  6. Step 6: Final answer
    x = 210.71

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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.