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Finding the Fourth Proportional to 213.64, 320.61 and 91.99

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Solution

The fourth proportional to 213.64, 320.61 and 91.99 is: 138.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.64 : 320.61 = 91.99 : x
  2. Step 2: Convert to fraction form
    213.64/320.61 = 91.99/x
  3. Step 3: Cross multiply
    213.64x = 320.61 × 91.99
  4. Step 4: Simplify right side
    213.64x = 29,491.34
  5. Step 5: Solve for x
    x = 29,491.34/213.64
  6. Step 6: Final answer
    x = 138.04

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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.