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Finding the Fourth Proportional to 213.65, 320.62 and 91.93

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Solution

The fourth proportional to 213.65, 320.62 and 91.93 is: 137.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.65 : 320.62 = 91.93 : x
  2. Step 2: Convert to fraction form
    213.65/320.62 = 91.93/x
  3. Step 3: Cross multiply
    213.65x = 320.62 × 91.93
  4. Step 4: Simplify right side
    213.65x = 29,474.60
  5. Step 5: Solve for x
    x = 29,474.60/213.65
  6. Step 6: Final answer
    x = 137.96

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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.