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Finding the Fourth Proportional to 257.95, 356.19 and 164.86

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Solution

The fourth proportional to 257.95, 356.19 and 164.86 is: 227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.95 : 356.19 = 164.86 : x
  2. Step 2: Convert to fraction form
    257.95/356.19 = 164.86/x
  3. Step 3: Cross multiply
    257.95x = 356.19 × 164.86
  4. Step 4: Simplify right side
    257.95x = 58,721.48
  5. Step 5: Solve for x
    x = 58,721.48/257.95
  6. Step 6: Final answer
    x = 227.65

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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.