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Finding the Fourth Proportional to 210.30, 316.76 and 204.83

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Solution

The fourth proportional to 210.30, 316.76 and 204.83 is: 308.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.30 : 316.76 = 204.83 : x
  2. Step 2: Convert to fraction form
    210.30/316.76 = 204.83/x
  3. Step 3: Cross multiply
    210.30x = 316.76 × 204.83
  4. Step 4: Simplify right side
    210.30x = 64,881.68
  5. Step 5: Solve for x
    x = 64,881.68/210.30
  6. Step 6: Final answer
    x = 308.53

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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.