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Finding the Fourth Proportional to 259.41, 358.01 and 142.99

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Solution

The fourth proportional to 259.41, 358.01 and 142.99 is: 197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.41 : 358.01 = 142.99 : x
  2. Step 2: Convert to fraction form
    259.41/358.01 = 142.99/x
  3. Step 3: Cross multiply
    259.41x = 358.01 × 142.99
  4. Step 4: Simplify right side
    259.41x = 51,191.85
  5. Step 5: Solve for x
    x = 51,191.85/259.41
  6. Step 6: Final answer
    x = 197.34

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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.