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Finding the Fourth Proportional to 259.53, 358.14 and 143.09

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Solution

The fourth proportional to 259.53, 358.14 and 143.09 is: 197.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.53 : 358.14 = 143.09 : x
  2. Step 2: Convert to fraction form
    259.53/358.14 = 143.09/x
  3. Step 3: Cross multiply
    259.53x = 358.14 × 143.09
  4. Step 4: Simplify right side
    259.53x = 51,246.25
  5. Step 5: Solve for x
    x = 51,246.25/259.53
  6. Step 6: Final answer
    x = 197.46

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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.