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Finding the Fourth Proportional to 164.57, 245.43 and 140.35

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Solution

The fourth proportional to 164.57, 245.43 and 140.35 is: 209.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.57 : 245.43 = 140.35 : x
  2. Step 2: Convert to fraction form
    164.57/245.43 = 140.35/x
  3. Step 3: Cross multiply
    164.57x = 245.43 × 140.35
  4. Step 4: Simplify right side
    164.57x = 34,446.10
  5. Step 5: Solve for x
    x = 34,446.10/164.57
  6. Step 6: Final answer
    x = 209.31

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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.