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Finding the Fourth Proportional to 344.18, 515.25 and 213.76

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Solution

The fourth proportional to 344.18, 515.25 and 213.76 is: 320.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.18 : 515.25 = 213.76 : x
  2. Step 2: Convert to fraction form
    344.18/515.25 = 213.76/x
  3. Step 3: Cross multiply
    344.18x = 515.25 × 213.76
  4. Step 4: Simplify right side
    344.18x = 110,139.84
  5. Step 5: Solve for x
    x = 110,139.84/344.18
  6. Step 6: Final answer
    x = 320.01

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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.