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Finding the Fourth Proportional to 212.34, 320.84 and 211.13

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Solution

The fourth proportional to 212.34, 320.84 and 211.13 is: 319.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.34 : 320.84 = 211.13 : x
  2. Step 2: Convert to fraction form
    212.34/320.84 = 211.13/x
  3. Step 3: Cross multiply
    212.34x = 320.84 × 211.13
  4. Step 4: Simplify right side
    212.34x = 67,736.29
  5. Step 5: Solve for x
    x = 67,736.29/212.34
  6. Step 6: Final answer
    x = 319.00

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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.