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Finding the Fourth Proportional to 249.64, 344.50 and 146.16

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Solution

The fourth proportional to 249.64, 344.50 and 146.16 is: 201.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.64 : 344.50 = 146.16 : x
  2. Step 2: Convert to fraction form
    249.64/344.50 = 146.16/x
  3. Step 3: Cross multiply
    249.64x = 344.50 × 146.16
  4. Step 4: Simplify right side
    249.64x = 50,352.12
  5. Step 5: Solve for x
    x = 50,352.12/249.64
  6. Step 6: Final answer
    x = 201.70

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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.