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Finding the Fourth Proportional to 350.46, 525.08 and 312.29

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Solution

The fourth proportional to 350.46, 525.08 and 312.29 is: 467.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.46 : 525.08 = 312.29 : x
  2. Step 2: Convert to fraction form
    350.46/525.08 = 312.29/x
  3. Step 3: Cross multiply
    350.46x = 525.08 × 312.29
  4. Step 4: Simplify right side
    350.46x = 163,975.03
  5. Step 5: Solve for x
    x = 163,975.03/350.46
  6. Step 6: Final answer
    x = 467.88

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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.