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Finding the Fourth Proportional to 259.64, 358.31 and 143.21

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Solution

The fourth proportional to 259.64, 358.31 and 143.21 is: 197.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.64 : 358.31 = 143.21 : x
  2. Step 2: Convert to fraction form
    259.64/358.31 = 143.21/x
  3. Step 3: Cross multiply
    259.64x = 358.31 × 143.21
  4. Step 4: Simplify right side
    259.64x = 51,312.14
  5. Step 5: Solve for x
    x = 51,312.14/259.64
  6. Step 6: Final answer
    x = 197.63

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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.