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Finding the Fourth Proportional to 207.32, 312.48 and 195.56

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Solution

The fourth proportional to 207.32, 312.48 and 195.56 is: 294.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.32 : 312.48 = 195.56 : x
  2. Step 2: Convert to fraction form
    207.32/312.48 = 195.56/x
  3. Step 3: Cross multiply
    207.32x = 312.48 × 195.56
  4. Step 4: Simplify right side
    207.32x = 61,108.59
  5. Step 5: Solve for x
    x = 61,108.59/207.32
  6. Step 6: Final answer
    x = 294.75

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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.