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Finding the Fourth Proportional to 259.88, 358.44 and 171.18

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Solution

The fourth proportional to 259.88, 358.44 and 171.18 is: 236.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.88 : 358.44 = 171.18 : x
  2. Step 2: Convert to fraction form
    259.88/358.44 = 171.18/x
  3. Step 3: Cross multiply
    259.88x = 358.44 × 171.18
  4. Step 4: Simplify right side
    259.88x = 61,357.76
  5. Step 5: Solve for x
    x = 61,357.76/259.88
  6. Step 6: Final answer
    x = 236.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.