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Finding the Fourth Proportional to 345.90, 520.34 and 341.04

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Solution

The fourth proportional to 345.90, 520.34 and 341.04 is: 513.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.90 : 520.34 = 341.04 : x
  2. Step 2: Convert to fraction form
    345.90/520.34 = 341.04/x
  3. Step 3: Cross multiply
    345.90x = 520.34 × 341.04
  4. Step 4: Simplify right side
    345.90x = 177,455.05
  5. Step 5: Solve for x
    x = 177,455.05/345.90
  6. Step 6: Final answer
    x = 513.02

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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.