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Finding the Fourth Proportional to 486.18, 729.36 and 178.08

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Solution

The fourth proportional to 486.18, 729.36 and 178.08 is: 267.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.18 : 729.36 = 178.08 : x
  2. Step 2: Convert to fraction form
    486.18/729.36 = 178.08/x
  3. Step 3: Cross multiply
    486.18x = 729.36 × 178.08
  4. Step 4: Simplify right side
    486.18x = 129,884.43
  5. Step 5: Solve for x
    x = 129,884.43/486.18
  6. Step 6: Final answer
    x = 267.15

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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.