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Finding the Fourth Proportional to 212.39, 320.50 and 204.76

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Solution

The fourth proportional to 212.39, 320.50 and 204.76 is: 308.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.39 : 320.50 = 204.76 : x
  2. Step 2: Convert to fraction form
    212.39/320.50 = 204.76/x
  3. Step 3: Cross multiply
    212.39x = 320.50 × 204.76
  4. Step 4: Simplify right side
    212.39x = 65,625.08
  5. Step 5: Solve for x
    x = 65,625.08/212.39
  6. Step 6: Final answer
    x = 308.99

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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.