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Finding the Fourth Proportional to 213.40, 320.07 and 83.47

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Solution

The fourth proportional to 213.40, 320.07 and 83.47 is: 125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.40 : 320.07 = 83.47 : x
  2. Step 2: Convert to fraction form
    213.40/320.07 = 83.47/x
  3. Step 3: Cross multiply
    213.40x = 320.07 × 83.47
  4. Step 4: Simplify right side
    213.40x = 26,716.24
  5. Step 5: Solve for x
    x = 26,716.24/213.40
  6. Step 6: Final answer
    x = 125.19

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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.