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Finding the Fourth Proportional to 249, 343.68 and 145.56

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Solution

The fourth proportional to 249, 343.68 and 145.56 is: 200.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    249 : 343.68 = 145.56 : x
  2. Step 2: Convert to fraction form
    249/343.68 = 145.56/x
  3. Step 3: Cross multiply
    249x = 343.68 × 145.56
  4. Step 4: Simplify right side
    249x = 50,026.06
  5. Step 5: Solve for x
    x = 50,026.06/249
  6. Step 6: Final answer
    x = 200.91

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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.