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Finding the Fourth Proportional to 348.96, 520.08 and 348.42

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Solution

The fourth proportional to 348.96, 520.08 and 348.42 is: 519.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.96 : 520.08 = 348.42 : x
  2. Step 2: Convert to fraction form
    348.96/520.08 = 348.42/x
  3. Step 3: Cross multiply
    348.96x = 520.08 × 348.42
  4. Step 4: Simplify right side
    348.96x = 181,206.27
  5. Step 5: Solve for x
    x = 181,206.27/348.96
  6. Step 6: Final answer
    x = 519.28

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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.