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Finding the Fourth Proportional to 293.06, 439.76 and 130.75

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Solution

The fourth proportional to 293.06, 439.76 and 130.75 is: 196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.06 : 439.76 = 130.75 : x
  2. Step 2: Convert to fraction form
    293.06/439.76 = 130.75/x
  3. Step 3: Cross multiply
    293.06x = 439.76 × 130.75
  4. Step 4: Simplify right side
    293.06x = 57,498.62
  5. Step 5: Solve for x
    x = 57,498.62/293.06
  6. Step 6: Final answer
    x = 196.20

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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.