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Finding the Fourth Proportional to 259.24, 388.68 and 143.71

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Solution

The fourth proportional to 259.24, 388.68 and 143.71 is: 215.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.24 : 388.68 = 143.71 : x
  2. Step 2: Convert to fraction form
    259.24/388.68 = 143.71/x
  3. Step 3: Cross multiply
    259.24x = 388.68 × 143.71
  4. Step 4: Simplify right side
    259.24x = 55,857.20
  5. Step 5: Solve for x
    x = 55,857.20/259.24
  6. Step 6: Final answer
    x = 215.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.