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Finding the Fourth Proportional to 218.84, 328.28 and 192.12

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Solution

The fourth proportional to 218.84, 328.28 and 192.12 is: 288.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.84 : 328.28 = 192.12 : x
  2. Step 2: Convert to fraction form
    218.84/328.28 = 192.12/x
  3. Step 3: Cross multiply
    218.84x = 328.28 × 192.12
  4. Step 4: Simplify right side
    218.84x = 63,069.15
  5. Step 5: Solve for x
    x = 63,069.15/218.84
  6. Step 6: Final answer
    x = 288.20

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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.