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Finding the Fourth Proportional to 407.92, 562.96 and 334.02

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Solution

The fourth proportional to 407.92, 562.96 and 334.02 is: 460.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.92 : 562.96 = 334.02 : x
  2. Step 2: Convert to fraction form
    407.92/562.96 = 334.02/x
  3. Step 3: Cross multiply
    407.92x = 562.96 × 334.02
  4. Step 4: Simplify right side
    407.92x = 188,039.90
  5. Step 5: Solve for x
    x = 188,039.90/407.92
  6. Step 6: Final answer
    x = 460.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.