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Finding the Fourth Proportional to 346.23, 519.01 and 280.96

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Solution

The fourth proportional to 346.23, 519.01 and 280.96 is: 421.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.23 : 519.01 = 280.96 : x
  2. Step 2: Convert to fraction form
    346.23/519.01 = 280.96/x
  3. Step 3: Cross multiply
    346.23x = 519.01 × 280.96
  4. Step 4: Simplify right side
    346.23x = 145,819.05
  5. Step 5: Solve for x
    x = 145,819.05/346.23
  6. Step 6: Final answer
    x = 421.16

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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.