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Finding the Fourth Proportional to 177.39, 245.43 and 144.59

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Solution

The fourth proportional to 177.39, 245.43 and 144.59 is: 200.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.39 : 245.43 = 144.59 : x
  2. Step 2: Convert to fraction form
    177.39/245.43 = 144.59/x
  3. Step 3: Cross multiply
    177.39x = 245.43 × 144.59
  4. Step 4: Simplify right side
    177.39x = 35,485.50
  5. Step 5: Solve for x
    x = 35,485.50/177.39
  6. Step 6: Final answer
    x = 200.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.