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Finding the Fourth Proportional to 318.68, 440.15 and 213.59

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Solution

The fourth proportional to 318.68, 440.15 and 213.59 is: 295.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.68 : 440.15 = 213.59 : x
  2. Step 2: Convert to fraction form
    318.68/440.15 = 213.59/x
  3. Step 3: Cross multiply
    318.68x = 440.15 × 213.59
  4. Step 4: Simplify right side
    318.68x = 94,011.64
  5. Step 5: Solve for x
    x = 94,011.64/318.68
  6. Step 6: Final answer
    x = 295.00

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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.