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Finding the Fourth Proportional to 259.73, 358.48 and 171.06

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Solution

The fourth proportional to 259.73, 358.48 and 171.06 is: 236.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.73 : 358.48 = 171.06 : x
  2. Step 2: Convert to fraction form
    259.73/358.48 = 171.06/x
  3. Step 3: Cross multiply
    259.73x = 358.48 × 171.06
  4. Step 4: Simplify right side
    259.73x = 61,319.80
  5. Step 5: Solve for x
    x = 61,319.80/259.73
  6. Step 6: Final answer
    x = 236.09

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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.