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Finding the Fourth Proportional to 218.16, 325.99 and 165.81

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Solution

The fourth proportional to 218.16, 325.99 and 165.81 is: 247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.16 : 325.99 = 165.81 : x
  2. Step 2: Convert to fraction form
    218.16/325.99 = 165.81/x
  3. Step 3: Cross multiply
    218.16x = 325.99 × 165.81
  4. Step 4: Simplify right side
    218.16x = 54,053.71
  5. Step 5: Solve for x
    x = 54,053.71/218.16
  6. Step 6: Final answer
    x = 247.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.