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Finding the Fourth Proportional to 270.28, 402.74 and 257.18

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Solution

The fourth proportional to 270.28, 402.74 and 257.18 is: 383.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.28 : 402.74 = 257.18 : x
  2. Step 2: Convert to fraction form
    270.28/402.74 = 257.18/x
  3. Step 3: Cross multiply
    270.28x = 402.74 × 257.18
  4. Step 4: Simplify right side
    270.28x = 103,578.32
  5. Step 5: Solve for x
    x = 103,578.32/270.28
  6. Step 6: Final answer
    x = 383.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.