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Finding the Fourth Proportional to 245.63, 339 and 147.44

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Solution

The fourth proportional to 245.63, 339 and 147.44 is: 203.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.63 : 339 = 147.44 : x
  2. Step 2: Convert to fraction form
    245.63/339 = 147.44/x
  3. Step 3: Cross multiply
    245.63x = 339 × 147.44
  4. Step 4: Simplify right side
    245.63x = 49,982.16
  5. Step 5: Solve for x
    x = 49,982.16/245.63
  6. Step 6: Final answer
    x = 203.49

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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.