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Finding the Fourth Proportional to 346.78, 520.26 and 319.42

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Solution

The fourth proportional to 346.78, 520.26 and 319.42 is: 479.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.78 : 520.26 = 319.42 : x
  2. Step 2: Convert to fraction form
    346.78/520.26 = 319.42/x
  3. Step 3: Cross multiply
    346.78x = 520.26 × 319.42
  4. Step 4: Simplify right side
    346.78x = 166,181.45
  5. Step 5: Solve for x
    x = 166,181.45/346.78
  6. Step 6: Final answer
    x = 479.21

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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.