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Finding the Fourth Proportional to 259.86, 358.61 and 143.43

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Solution

The fourth proportional to 259.86, 358.61 and 143.43 is: 197.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.86 : 358.61 = 143.43 : x
  2. Step 2: Convert to fraction form
    259.86/358.61 = 143.43/x
  3. Step 3: Cross multiply
    259.86x = 358.61 × 143.43
  4. Step 4: Simplify right side
    259.86x = 51,432.92
  5. Step 5: Solve for x
    x = 51,432.92/259.86
  6. Step 6: Final answer
    x = 197.93

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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.