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Finding the Fourth Proportional to 479.96, 662.64 and 305.60

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Solution

The fourth proportional to 479.96, 662.64 and 305.60 is: 421.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.96 : 662.64 = 305.60 : x
  2. Step 2: Convert to fraction form
    479.96/662.64 = 305.60/x
  3. Step 3: Cross multiply
    479.96x = 662.64 × 305.60
  4. Step 4: Simplify right side
    479.96x = 202,502.78
  5. Step 5: Solve for x
    x = 202,502.78/479.96
  6. Step 6: Final answer
    x = 421.92

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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.