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Finding the Fourth Proportional to 449.71, 673.16 and 312.34

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Solution

The fourth proportional to 449.71, 673.16 and 312.34 is: 467.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.71 : 673.16 = 312.34 : x
  2. Step 2: Convert to fraction form
    449.71/673.16 = 312.34/x
  3. Step 3: Cross multiply
    449.71x = 673.16 × 312.34
  4. Step 4: Simplify right side
    449.71x = 210,254.57
  5. Step 5: Solve for x
    x = 210,254.57/449.71
  6. Step 6: Final answer
    x = 467.53

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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.