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Finding the Fourth Proportional to 346.78, 520.62 and 270.23

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Solution

The fourth proportional to 346.78, 520.62 and 270.23 is: 405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.78 : 520.62 = 270.23 : x
  2. Step 2: Convert to fraction form
    346.78/520.62 = 270.23/x
  3. Step 3: Cross multiply
    346.78x = 520.62 × 270.23
  4. Step 4: Simplify right side
    346.78x = 140,687.14
  5. Step 5: Solve for x
    x = 140,687.14/346.78
  6. Step 6: Final answer
    x = 405.70

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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.