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Finding the Fourth Proportional to 207.80, 286.76 and 130.20

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Solution

The fourth proportional to 207.80, 286.76 and 130.20 is: 179.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.80 : 286.76 = 130.20 : x
  2. Step 2: Convert to fraction form
    207.80/286.76 = 130.20/x
  3. Step 3: Cross multiply
    207.80x = 286.76 × 130.20
  4. Step 4: Simplify right side
    207.80x = 37,336.15
  5. Step 5: Solve for x
    x = 37,336.15/207.80
  6. Step 6: Final answer
    x = 179.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.