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Finding the Fourth Proportional to 212.13, 319.37 and 193.29

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Solution

The fourth proportional to 212.13, 319.37 and 193.29 is: 291.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.13 : 319.37 = 193.29 : x
  2. Step 2: Convert to fraction form
    212.13/319.37 = 193.29/x
  3. Step 3: Cross multiply
    212.13x = 319.37 × 193.29
  4. Step 4: Simplify right side
    212.13x = 61,730.06
  5. Step 5: Solve for x
    x = 61,730.06/212.13
  6. Step 6: Final answer
    x = 291.00

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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.