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Finding the Fourth Proportional to 248.28, 342.58 and 144.76

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Solution

The fourth proportional to 248.28, 342.58 and 144.76 is: 199.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.28 : 342.58 = 144.76 : x
  2. Step 2: Convert to fraction form
    248.28/342.58 = 144.76/x
  3. Step 3: Cross multiply
    248.28x = 342.58 × 144.76
  4. Step 4: Simplify right side
    248.28x = 49,591.88
  5. Step 5: Solve for x
    x = 49,591.88/248.28
  6. Step 6: Final answer
    x = 199.74

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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.