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Finding the Fourth Proportional to 486.88, 729.81 and 212.76

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Solution

The fourth proportional to 486.88, 729.81 and 212.76 is: 318.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.88 : 729.81 = 212.76 : x
  2. Step 2: Convert to fraction form
    486.88/729.81 = 212.76/x
  3. Step 3: Cross multiply
    486.88x = 729.81 × 212.76
  4. Step 4: Simplify right side
    486.88x = 155,274.38
  5. Step 5: Solve for x
    x = 155,274.38/486.88
  6. Step 6: Final answer
    x = 318.92

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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.