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Finding the Fourth Proportional to 213.80, 320.52 and 92.06

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Solution

The fourth proportional to 213.80, 320.52 and 92.06 is: 138.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.80 : 320.52 = 92.06 : x
  2. Step 2: Convert to fraction form
    213.80/320.52 = 92.06/x
  3. Step 3: Cross multiply
    213.80x = 320.52 × 92.06
  4. Step 4: Simplify right side
    213.80x = 29,507.07
  5. Step 5: Solve for x
    x = 29,507.07/213.80
  6. Step 6: Final answer
    x = 138.01

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