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Finding the Fourth Proportional to 259.76, 358.45 and 141.73

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Solution

The fourth proportional to 259.76, 358.45 and 141.73 is: 195.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.76 : 358.45 = 141.73 : x
  2. Step 2: Convert to fraction form
    259.76/358.45 = 141.73/x
  3. Step 3: Cross multiply
    259.76x = 358.45 × 141.73
  4. Step 4: Simplify right side
    259.76x = 50,803.12
  5. Step 5: Solve for x
    x = 50,803.12/259.76
  6. Step 6: Final answer
    x = 195.58

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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.