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Finding the Fourth Proportional to 207.30, 312.70 and 196.23

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Solution

The fourth proportional to 207.30, 312.70 and 196.23 is: 296.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.30 : 312.70 = 196.23 : x
  2. Step 2: Convert to fraction form
    207.30/312.70 = 196.23/x
  3. Step 3: Cross multiply
    207.30x = 312.70 × 196.23
  4. Step 4: Simplify right side
    207.30x = 61,361.12
  5. Step 5: Solve for x
    x = 61,361.12/207.30
  6. Step 6: Final answer
    x = 296.00

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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.