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Finding the Fourth Proportional to 345.96, 520.38 and 312.84

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Solution

The fourth proportional to 345.96, 520.38 and 312.84 is: 470.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.96 : 520.38 = 312.84 : x
  2. Step 2: Convert to fraction form
    345.96/520.38 = 312.84/x
  3. Step 3: Cross multiply
    345.96x = 520.38 × 312.84
  4. Step 4: Simplify right side
    345.96x = 162,795.68
  5. Step 5: Solve for x
    x = 162,795.68/345.96
  6. Step 6: Final answer
    x = 470.56

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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.