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Finding the Fourth Proportional to 249.88, 373.16 and 213.40

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Solution

The fourth proportional to 249.88, 373.16 and 213.40 is: 318.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.88 : 373.16 = 213.40 : x
  2. Step 2: Convert to fraction form
    249.88/373.16 = 213.40/x
  3. Step 3: Cross multiply
    249.88x = 373.16 × 213.40
  4. Step 4: Simplify right side
    249.88x = 79,632.34
  5. Step 5: Solve for x
    x = 79,632.34/249.88
  6. Step 6: Final answer
    x = 318.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.