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Finding the Fourth Proportional to 259.48, 389.14 and 213.71

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Solution

The fourth proportional to 259.48, 389.14 and 213.71 is: 320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.48 : 389.14 = 213.71 : x
  2. Step 2: Convert to fraction form
    259.48/389.14 = 213.71/x
  3. Step 3: Cross multiply
    259.48x = 389.14 × 213.71
  4. Step 4: Simplify right side
    259.48x = 83,162.82
  5. Step 5: Solve for x
    x = 83,162.82/259.48
  6. Step 6: Final answer
    x = 320.50

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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.