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Finding the Fourth Proportional to 293.79, 440.84 and 213.30

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Solution

The fourth proportional to 293.79, 440.84 and 213.30 is: 320.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.79 : 440.84 = 213.30 : x
  2. Step 2: Convert to fraction form
    293.79/440.84 = 213.30/x
  3. Step 3: Cross multiply
    293.79x = 440.84 × 213.30
  4. Step 4: Simplify right side
    293.79x = 94,028.45
  5. Step 5: Solve for x
    x = 94,028.45/293.79
  6. Step 6: Final answer
    x = 320.05

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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.