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Finding the Fourth Proportional to 212, 316.26 and 204.52

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Solution

The fourth proportional to 212, 316.26 and 204.52 is: 305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    212 : 316.26 = 204.52 : x
  2. Step 2: Convert to fraction form
    212/316.26 = 204.52/x
  3. Step 3: Cross multiply
    212x = 316.26 × 204.52
  4. Step 4: Simplify right side
    212x = 64,681.50
  5. Step 5: Solve for x
    x = 64,681.50/212
  6. Step 6: Final answer
    x = 305.10

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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.