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Finding the Fourth Proportional to 257.94, 355.88 and 164.52

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Solution

The fourth proportional to 257.94, 355.88 and 164.52 is: 226.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.94 : 355.88 = 164.52 : x
  2. Step 2: Convert to fraction form
    257.94/355.88 = 164.52/x
  3. Step 3: Cross multiply
    257.94x = 355.88 × 164.52
  4. Step 4: Simplify right side
    257.94x = 58,549.38
  5. Step 5: Solve for x
    x = 58,549.38/257.94
  6. Step 6: Final answer
    x = 226.99

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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.