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Finding the Fourth Proportional to 218.64, 328.24 and 170.04

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Solution

The fourth proportional to 218.64, 328.24 and 170.04 is: 255.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.64 : 328.24 = 170.04 : x
  2. Step 2: Convert to fraction form
    218.64/328.24 = 170.04/x
  3. Step 3: Cross multiply
    218.64x = 328.24 × 170.04
  4. Step 4: Simplify right side
    218.64x = 55,813.93
  5. Step 5: Solve for x
    x = 55,813.93/218.64
  6. Step 6: Final answer
    x = 255.28

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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.