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Finding the Fourth Proportional to 348.34, 520.10 and 344.88

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Solution

The fourth proportional to 348.34, 520.10 and 344.88 is: 514.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.34 : 520.10 = 344.88 : x
  2. Step 2: Convert to fraction form
    348.34/520.10 = 344.88/x
  3. Step 3: Cross multiply
    348.34x = 520.10 × 344.88
  4. Step 4: Simplify right side
    348.34x = 179,372.09
  5. Step 5: Solve for x
    x = 179,372.09/348.34
  6. Step 6: Final answer
    x = 514.93

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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.