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Finding the Fourth Proportional to 218.30, 328.76 and 164.57

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Solution

The fourth proportional to 218.30, 328.76 and 164.57 is: 247.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.30 : 328.76 = 164.57 : x
  2. Step 2: Convert to fraction form
    218.30/328.76 = 164.57/x
  3. Step 3: Cross multiply
    218.30x = 328.76 × 164.57
  4. Step 4: Simplify right side
    218.30x = 54,102.18
  5. Step 5: Solve for x
    x = 54,102.18/218.30
  6. Step 6: Final answer
    x = 247.84

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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.