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Finding the Fourth Proportional to 257.06, 354.84 and 199.01

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Solution

The fourth proportional to 257.06, 354.84 and 199.01 is: 274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.06 : 354.84 = 199.01 : x
  2. Step 2: Convert to fraction form
    257.06/354.84 = 199.01/x
  3. Step 3: Cross multiply
    257.06x = 354.84 × 199.01
  4. Step 4: Simplify right side
    257.06x = 70,616.71
  5. Step 5: Solve for x
    x = 70,616.71/257.06
  6. Step 6: Final answer
    x = 274.71

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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.