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Finding the Fourth Proportional to 449.32, 673.03 and 340.78

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Solution

The fourth proportional to 449.32, 673.03 and 340.78 is: 510.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.32 : 673.03 = 340.78 : x
  2. Step 2: Convert to fraction form
    449.32/673.03 = 340.78/x
  3. Step 3: Cross multiply
    449.32x = 673.03 × 340.78
  4. Step 4: Simplify right side
    449.32x = 229,355.16
  5. Step 5: Solve for x
    x = 229,355.16/449.32
  6. Step 6: Final answer
    x = 510.45

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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.