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Finding the Fourth Proportional to 207.85, 311.88 and 147.48

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Solution

The fourth proportional to 207.85, 311.88 and 147.48 is: 221.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.85 : 311.88 = 147.48 : x
  2. Step 2: Convert to fraction form
    207.85/311.88 = 147.48/x
  3. Step 3: Cross multiply
    207.85x = 311.88 × 147.48
  4. Step 4: Simplify right side
    207.85x = 45,994.50
  5. Step 5: Solve for x
    x = 45,994.50/207.85
  6. Step 6: Final answer
    x = 221.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.