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Finding the Fourth Proportional to 268.47, 370.31 and 179.91

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Solution

The fourth proportional to 268.47, 370.31 and 179.91 is: 248.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.47 : 370.31 = 179.91 : x
  2. Step 2: Convert to fraction form
    268.47/370.31 = 179.91/x
  3. Step 3: Cross multiply
    268.47x = 370.31 × 179.91
  4. Step 4: Simplify right side
    268.47x = 66,621.57
  5. Step 5: Solve for x
    x = 66,621.57/268.47
  6. Step 6: Final answer
    x = 248.15

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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.