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Finding the Fourth Proportional to 259.73, 389.66 and 213.53

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Solution

The fourth proportional to 259.73, 389.66 and 213.53 is: 320.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.73 : 389.66 = 213.53 : x
  2. Step 2: Convert to fraction form
    259.73/389.66 = 213.53/x
  3. Step 3: Cross multiply
    259.73x = 389.66 × 213.53
  4. Step 4: Simplify right side
    259.73x = 83,202.48
  5. Step 5: Solve for x
    x = 83,202.48/259.73
  6. Step 6: Final answer
    x = 320.35

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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.