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Finding the Fourth Proportional to 216.08, 325.40 and 194.67

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Solution

The fourth proportional to 216.08, 325.40 and 194.67 is: 293.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.08 : 325.40 = 194.67 : x
  2. Step 2: Convert to fraction form
    216.08/325.40 = 194.67/x
  3. Step 3: Cross multiply
    216.08x = 325.40 × 194.67
  4. Step 4: Simplify right side
    216.08x = 63,345.62
  5. Step 5: Solve for x
    x = 63,345.62/216.08
  6. Step 6: Final answer
    x = 293.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.