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Finding the Fourth Proportional to 218.04, 328.68 and 204.12

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Solution

The fourth proportional to 218.04, 328.68 and 204.12 is: 307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.04 : 328.68 = 204.12 : x
  2. Step 2: Convert to fraction form
    218.04/328.68 = 204.12/x
  3. Step 3: Cross multiply
    218.04x = 328.68 × 204.12
  4. Step 4: Simplify right side
    218.04x = 67,090.16
  5. Step 5: Solve for x
    x = 67,090.16/218.04
  6. Step 6: Final answer
    x = 307.70

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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.