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Finding the Fourth Proportional to 212.82, 316.61 and 203.10

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Solution

The fourth proportional to 212.82, 316.61 and 203.10 is: 302.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.82 : 316.61 = 203.10 : x
  2. Step 2: Convert to fraction form
    212.82/316.61 = 203.10/x
  3. Step 3: Cross multiply
    212.82x = 316.61 × 203.10
  4. Step 4: Simplify right side
    212.82x = 64,302.48
  5. Step 5: Solve for x
    x = 64,302.48/212.82
  6. Step 6: Final answer
    x = 302.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.