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Finding the Fourth Proportional to 268.71, 402.79 and 106.30

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Solution

The fourth proportional to 268.71, 402.79 and 106.30 is: 159.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.71 : 402.79 = 106.30 : x
  2. Step 2: Convert to fraction form
    268.71/402.79 = 106.30/x
  3. Step 3: Cross multiply
    268.71x = 402.79 × 106.30
  4. Step 4: Simplify right side
    268.71x = 42,816.58
  5. Step 5: Solve for x
    x = 42,816.58/268.71
  6. Step 6: Final answer
    x = 159.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.